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45–XX INTEGRAL EQUATIONS 2003 1172 45–XX Integral equations Puri, Pratap see Kythe, Prem K., 2003e:65242 Ramm, Alexander G. A counterexample to a uniqueness result. (English summary) 2003i:34029 45–02 Research exposition (monographs, survey articles) Solov ev, Aleksandr Art¨ movich see Maz ya, Vladimir G., 2003f:31003a and 2003f:31003b ¨ e ¨ ¨ ˙ Temizer, O. Faruk see Ozdemir, Ismet, 2003b:45001 Items with secondary classiﬁcations in 45–02 Tvrd´ , Milan Diﬀerential and integral equations in the space of regulated functions. y (English and Georgian summaries) 2003k:34025 Mikhlin, S. G. (with Morozov, N. F.; Paukshto, M. V.) Интегральные уравнения в Zhang, Bo1 see Chandler-Wilde, Simon N., 2003f:47022 теории упругости. (Russian. Russian summary) [Integral equations in the theory of elasticity] 2003g:74034 Morozov, N. F. see Mikhlin, S. G. et al., 2003g:74034 Paukshto, M. V. see Mikhlin, S. G. et al., 2003g:74034 45B05 Fredholm integral equations Abdou, Mohamed A. (with Moustafa, Osama L.) Fredholm-Volterra integral equation in contact problem. (English summary) 2003m:45001 45–03 Historical (must also be assigned at least one classiﬁcation Bianconi, R. see Federson, M´ rcia, 2003g:45001 a number from Section 01) El-Bary, A. A. Fredholm-Volterra integral equation in three dimensional problem with Rus, Ioan A. Who authored the ﬁrst integral equations book in the world? (English Macdonald kernel. (English summary) Federson, M´ rcia (with Bianconi, R.) Linear Fredholm integral equations and the integral a summary) of Kurzweil. (English summary) 2003g:45001 Georgiou, D. N. (with Kougias, I. E.) On fuzzy Fredholm and Volterra integral equations. 45–04 Explicit machine computation and programs (not the (English summary) 2003d:45001 theory of computation or programming) Ghandehari, Mostafa (with Nestell, Merlynd) A quadratic Fredholm integral equation and its solution for various kernels. (English summary) 2003g:45002 Items with secondary classiﬁcations in 45–04 Hillion, Pierre Scattering of scalar waves by an obstacle: a diﬀerent approach. (English summary) 2003c:45001 Hendi, F. A. see Sharaf, M. A., 2003c:45004 Kougias, I. E. see Georgiou, D. N., 2003d:45001 Sharaf, M. A. (with Hendi, F. A.) Power series solutions of linear integral equations of the Meehan, Maria (with O’Regan, Donal) A note on positive solutions of Fredholm integral second kind using Jacobi polynomials expansion for their kernels. (English and Arabic equations and related boundary value problems. (English summary) 2003a:45002 summaries) 2003c:45004 Moustafa, Osama L. see Abdou, Mohamed A., 2003m:45001 Muresan, Viorica Existence, uniqueness and data dependence for the solution of a ¸ 45–06 Proceedings, conferences, collections, etc. Fredholm integral equation with linear modiﬁcation of the argument. (English summary) 2003f:45001 Items with secondary classiﬁcations in 45–06 Nestell, Merlynd see Ghandehari, Mostafa, 2003g:45002 (B¨ ttcher, Albrecht) see Toeplitz matrices and singular integral equations, 2003d:47001 o O’Regan, Donal see Meehan, Maria, 2003a:45002 (Gohberg, Israel) see Toeplitz matrices and singular integral equations, 2003d:47001 Shulaya, D. A. On a one special Fredholms integral equation of the third kind. (Junghanns, Peter) see Toeplitz matrices and singular integral equations, 2003d:47001 Solution of a linear integral equation of third kind. (English summary) 2003e:45001 (Silbermann, Bernd) see Toeplitz matrices and singular integral equations, 2003d:47001 Items with secondary classiﬁcations in 45B05 Items listed otherwise than by author Abdou, Mohamed A. Fredholm-Volterra integral equation with singular kernel. (English Festschrift: summary) 2003m:45002 Silbermann, Bernd Toeplitz matrices and singular integral equations. 2003d:47001 Agarwal, Ravi P. (with Meehan, Maria; O’Regan, Donal) Positive Lp and continuous Pobershau Toeplitz matrices and singular integral equations. 2003d:47001 solutions for Fredholm integral inclusions. (English summary) 2003j:45013 Toeplitz matrices and singular integral equations Toeplitz matrices and singular integral (with Grace, Said R.; O’Regan, Donal) Existence of positive solutions to semipositone equations. 2003d:47001 Fredholm integral equations. 2003k:45014 Aliev, N. A. (with Jahanshahi, Mohammad) Solution of Poisson’s equation with global, local and nonlocal boundary conditions. (English summary) 2003c:35029 Anyutin, A. P. see Kyurkchan, A. G., 2003h:35046 45A05 Linear integral equations Bogan, Yu. A. On the potential method for a fourth-order elliptic equation in anisotropic Arens, Tilo (with Chandler-Wilde, Simon N.; Haseloh, Kai O.) Solvability and spectral elasticity theory. (Russian. Russian summary) 2003k:35236 properties of integral equations on the real line. I. Weighted spaces of continuous Buckley, James J. (with Feuring, Thomas) Fuzzy integral equations. (English summary) functions. (English summary) 2003j:45001 2003j:45002 Bianconi, R. see Federson, M´ rcia, 2003a:45001 a Darwish, Mohamed Abdalla see El-Bary, A. A. et al., 2003j:45010 Buckley, James J. (with Feuring, Thomas) Fuzzy integral equations. (English summary) Dobner, Hans-J¨ rgen Kernel-splitting technique for enclosing the solution of Fredholm u 2003j:45002 equations of the ﬁrst kind. (English summary) 2003m:65236 Chandler-Wilde, Simon N. see Arens, Tilo et al., 2003j:45001 Dwivedi, A. P. (with Siddiqi, Tarannum) Family of triple and quadruple series equations Federson, M´ rcia (with Bianconi, R.) Linear Volterra-Stieltjes integral equations in the a involving heat polynomials. (English summary) 2003j:33045 sense of the Kurzweil-Henstock integral. (English summary) 2003a:45001 El-Bary, A. A. Fredholm-Volterra integral equation in the contact problem. (English Feuring, Thomas see Buckley, James J., 2003j:45002 summary) Georgiou, D. N. (with Kougias, I. E.) Bounded solutions for fuzzy integral equations. (with Darwish, Mohamed Abdalla; El-Sayed, W. G.) On an existence theorem for (English summary) Urysohn integral equations via measure of noncompactness. (English summary) Haseloh, Kai O. see Arens, Tilo et al., 2003j:45001 2003j:45010 Karov, Kh. M. On the norm of a functional in the space of diﬀerentiable functions and on El-Sayed, W. G. see El-Bary, A. A. et al., 2003j:45010 the functional Kneser equation. (Russian) 2003j:45003 (Eremenko, Alexandre) see Gantmakher, F. R., 2003f:34161 On an application of a theorem of Riesz to Kneser-type integral equations. (Russian) Fang, Gen Sun see Ma, Wan, 2003m:45017 Kougias, I. E. see Georgiou, D. N. Feuring, Thomas see Buckley, James J., 2003j:45002 Ramm, Alexander G. Analytical solution of a new class of integral equations. (English Fokas, A. S. (with Pogrebkov, A. K.) Inverse scattering transform for the KPI equation on summary) 2003k:45001 the background of a one-line soliton. (English summary) 2003k:35183 Gabdulkhaev, B. G. Solution of operator and integral equations by the Bogolyubov-Krylov Items with secondary classiﬁcations in 45A05 method. (Russian) 2003k:65174 Avsyankin, O. G. On an application of the projection method to paired integral operators Gantmakher, F. R. (with Krein, M. G.) Oscillation matrices and kernels and small with homogeneous kernels. (Russian) 2003k:45003 vibrations of mechanical systems. 2003f:34161 Cardot, Herv´ Spatially adaptive splines for statistical linear inverse problems. (English e Grace, Said R. see Agarwal, Ravi P. et al., 2003k:45014 summary) 2003c:62083 Haider, Mansoor A. (with Shipman, Stephen P.; Venakides, Stephanos) Boundary-integral Chandler-Wilde, Simon N. (with Zhang, Bo1 ) A generalized collectively compact operator calculations of two-dimensional electromagnetic scattering in inﬁnite photonic crystal theory with an application to integral equations on unbounded domains. (English slabs: channel defects and resonances. (English summary) 2003k:78016 summary) 2003f:47022 Hosseini, S. Mohammad (with Shahmorad, S.) Numerical solution of a class of integro- Cui, Ming Gen see Li, Chun Li, 2003f:46035 diﬀerential equations by the tau method with an error estimation. (English summary) Krutitskii, Pavel A. Integral equation method for the acoustic impedance problem in 2003i:65136 interior multiply connected domain. (English summary) 2003i:35048 Jahanshahi, Mohammad see Aliev, N. A., 2003c:35029 Kythe, Prem K. (with Puri, Pratap) Computational methods for linear integral Kalitvin, A. S. On Volterra-Fredholm equations with partial integrals. (Russian. Russian equations. (English summary) 2003e:65242 summary) 2003f:45002 Li, Chun Li (with Cui, Ming Gen) Exact solutions for a class of nonlinear integral Krein, M. G. see Gantmakher, F. R., 2003f:34161 equations in a reproducing kernel space. (Chinese. English and Chinese summaries) Krutitskii, Pavel A. The integral representation for a solution of the 2-D Dirichlet problem 2003f:46035 with boundary data on closed and open curves. (English summary) 2003f:35037 ¨ e Maz ya, Vladimir G. (with Solov ev, Aleksandr Art¨ movich) Boundary integral equations The modiﬁed jump problem for the Helmholtz equation. (English and Italian summaries) of plane elasticity in domains with peaks. (English summary) 2003f:31003a 2003a:35037 ¨ e (with Solov ev, Aleksandr Art¨ movich) Addendum: “Boundary integral equations of (with Sgibnev, A. I.) The method of integral equations in the mixed Dirichlet-Neumann plane elasticity in domains with peaks”. (English summary) 2003f:31003b problem for the Laplace equation in the exterior of cuts on a plane. (Russian. Russian ¨ Ozdemir, ˙ ¨ Ismet (with Temizer, O. Faruk) Expansion of the boundaries of the solutions summary) 2003g:35037 of the linear Volterra integral equations with convolution kernel. (English summary) On the invertible boundary integral operator in the exterior impedance problem for the 2003b:45001 Helmholtz equation. (English summary) 2003f:35055 1173 2003 INTEGRAL EQUATIONS 45D05 Kyurkchan, A. G. (with Anyutin, A. P.) The method of continued boundary conditions and Chun, Hongdeng see Yan, Huizhao et al. wavelets. (Russian) 2003h:35046 Darwish, Mohamed Abdalla On integral equations of Urysohn-Volterra type. (English Largillier, Alain (with Titaud, Olivier) Product integration quadratures for the radiative summary) 2003j:45004 transfer problem with Hopf ’s kernel. (see 2003a:00028) Demianko, Svetlana V. see Kilbas, A. A., 2003h:45001 Ma, Wan (with Fang, Gen Sun) The ε-complexity of the approximate solution of integral El-Bary, A. A. Fredholm-Volterra integral equation in the contact problem. (English equations with isotropic kernels. (English summary) 2003m:45017 summary) (with Wang, Xing Hua1) The ε-complexity of integral equations. (Chinese. English and Kalitvin, A. S. On Volterra-Fredholm equations with partial integrals. (Russian. Russian Chinese summaries) 2003k:45012 summary) 2003f:45002 Meehan, Maria see Agarwal, Ravi P. et al., 2003j:45013 Kilbas, A. A. (with Demianko, Svetlana V.) Solution of integral equations with power- O’Regan, Donal see Agarwal, Ravi P. et al., 2003j:45013 and 2003k:45014 logarithmic kernels in the class of integrable functions. (Russian. English and Russian Ostrik, Volodimir ¯ (with Ulitko, A. F.) Contact interaction between two elastic wedges. I. summaries) 2003h:45001 (Russian. English, Russian and Ukrainian summaries) Kim, Mihi Volterra inclusions in Banach spaces. (English summary) 2003d:45005 Pallav, Rene (with Pedas, Arvet) Quadratic spline collocation method for weakly singular Kr¨ ppel, Manfred see Berg, Lothar, 2003e:45002 u integral equations and corresponding eigenvalue problem. (English and Lithuanian Ma, Qing Hua (with Yang, En Hao) Estimates on solutions of some weakly singular summaries) 2003m:65239 Volterra integral inequalities. (Chinese. English and Chinese summaries) 2003m:45003 Pedas, Arvet see Pallav, Rene, 2003m:65239 Makay, G´ za see Burton, T. A., 2003i:45001 e Pogrebkov, A. K. see Fokas, A. S., 2003k:35183 Meehan, Maria (with O’Regan, Donal) Positive solutions of Volterra integral equations Rashed, M. T. An expansion method to treat integral equations. (English summary) using integral inequalities. (English summary) 2003g:45003 2003h:45012 O’Regan, Donal see Meehan, Maria, 2003g:45003 Sgibnev, A. I. see Krutitskii, Pavel A., 2003g:35037 ¨ Ozdemir, ˙ ¨ Ismet (with Temizer, O. Faruk) Expansion of the boundaries of the solutions Shahmorad, S. see Hosseini, S. Mohammad, 2003i:65136 of the linear Volterra integral equations with convolution kernel. (English summary) Shipman, Stephen P. see Haider, Mansoor A. et al., 2003k:78016 2003b:45001 Shirokova, E. A. Obtaining data classes for the well-posedness of an inverse boundary value Prakash, Periasamy see Balachandran, Krishnan, 2003k:45002 problem by reparametrization. (Russian) 2003h:30052 Radzhabov, N. R. On an integral equation of Volterra type. (Russian) Siddiqi, Tarannum see Dwivedi, A. P., 2003j:33045 c Risteski, Ice B. (with Trenˇ evski, Kostadin G.) New estimations of the solutions of Sˆnt˘ m˘ rian, Alina Integral inclusions of Fredholm type relative to multivalued ϕ- ı a a multidimensional integral inequalities. (English summary) 2003b:45002 contractions. (English summary) 2003i:47065 Sloss, Bruce Graydon A generalization of a Volterra integral equation. (English summary) Titaud, Olivier see Largillier, Alain, (2003a:00028) 2003j:45005 Tovmasyan, N. E. Boundary value problems for a class of nonregular elliptic equations. Sun, Li Min2 Existence of solutions to systems of Volterra fuzzy integral equation in (English summary) 2003g:30078 n (Em , Dm ). (English and Chinese summaries) 2003i:45002 Tvrd´ , Milan Diﬀerential and integral equations in the space of regulated functions. y ¨ ¨ ˙ Temizer, O. Faruk see Ozdemir, Ismet, 2003b:45001 (English and Georgian summaries) 2003k:34025 Trenˇ evski, Kostadin G. see Risteski, Ice B., 2003b:45002 c Ulitko, A. F. see Ostrik, Volodimir ¯I. Vel´ zquez Codina, Jos´ R. Qualitative behavior of the solutions of a Volterra integrodiﬀer- a e Venakides, Stephanos see Haider, Mansoor A. et al., 2003k:78016 ential system. (Spanish. English and Spanish summaries) 2003i:45003 1 Wang, Xing Hua see Ma, Wan, 2003k:45012 Voronin, A. F. A system of Volterra convolution equations of the ﬁrst kind on a ﬁnite Wazwaz, Abdul-Majid A reliable treatment for mixed Volterra-Fredholm integral equations. interval. (Russian. Russian summary) 2003f:45003 (English summary) 2003a:65120 Yan, Huizhao (with Chun, Hongdeng; Yu, Lingliao) On the generalized Volterra Laplacian in white noise calculus. (English and Chinese summaries) Yang, En Hao see Ma, Qing Hua, 2003m:45003 45C05 Eigenvalue problems [see also 34Lxx, 35Pxx, Yu, Lingliao see Yan, Huizhao et al. 45P05, 47A75] Items with secondary classiﬁcations in 45D05 Items with secondary classiﬁcations in 45C05 Abdou, Mohamed A. (with Moustafa, Osama L.) Fredholm-Volterra integral equation in contact problem. (English summary) 2003m:45001 Ahues, Mario (with Largillier, Alain; Limaye, Balmohan V.) Spectral computations for Ali, Ismail (with Kiryakova, Virginia; Kalla, Shyam L.) Solutions of fractional multi-order bounded operators. (English summary) 2003e:47039 integral and diﬀerential equations using a Poisson-type transform. (English summary) Arens, Tilo (with Chandler-Wilde, Simon N.; Haseloh, Kai O.) Solvability and spectral 2003f:45008 properties of integral equations on the real line. I. Weighted spaces of continuous Babolian, E. (with Biazar, J.) Solution of a system of linear Volterra equations by functions. (English summary) 2003j:45001 Adomian decomposition method. (English summary) 2003f:65204 Chandler-Wilde, Simon N. see Arens, Tilo et al., 2003j:45001 see also Biazar, J. et al., 2003k:45011 Fang, Gen Sun Eigenvalues of integral equations. (Chinese. English and Chinese sum- Bana´, J´ zef (with Rzepka, B.) An application of a measure of noncompactness in the s o maries) 2003m:45009 study of asymptotic stability. (English summary) 2003h:45007 Haseloh, Kai O. see Arens, Tilo et al., 2003j:45001 Bazzi, Louay (with Mitter, Sanjoy K.) The solution of linear probabilistic recurrence Infante, Gennaro Eigenvalues of some non-local boundary-value problems. (English relations. (English summary) 2003k:68131 summary) 2003m:34152 Berg, Lothar (with Kr¨ uppel, Manfred) De Rham’s singular function, two-scale diﬀerence Largillier, Alain see Ahues, Mario et al., 2003e:47039 equations and Appell polynomials. (English summary) 2003a:39025 Limaye, Balmohan V. see Ahues, Mario et al., 2003e:47039 Biazar, J. (with Babolian, E.; Islam, Raﬁqul M.) Solution of a system of Volterra integral Pallav, Rene (with Pedas, Arvet) Quadratic spline collocation method for weakly singular equations of the ﬁrst kind by Adomian method. (English summary) 2003k:45011 integral equations and corresponding eigenvalue problem. (English and Lithuanian see also Babolian, E., 2003f:65204 summaries) 2003m:65239 Bijura, Angelina Singularly perturbed Volterra integro-diﬀerential equations. (English Pedas, Arvet see Pallav, Rene, 2003m:65239 summary) 2003f:45009 Qiu, Zhong Hua (with Yan, Dun Yan) Eigenvalues and eigenvectors for systems Brenner, Marty (with Xu, Yuesheng) A factorization method for identiﬁcation of Volterra of Hammerstein integral equations. (Chinese. English and Chinese summaries) systems. (English summary) 2003f:93028 2003m:45012 Bulatov, M. V. Regularization of degenerate systems of Volterra integral equations. Yan, Dun Yan see Qiu, Zhong Hua, 2003m:45012 (Russian. Russian summary) 2003h:65186 Chai, Guo Qing Initial value problem for nth order nonlinear integrodiﬀerential equations on unbounded domains in Banach space. (Chinese. English and Chinese summaries) 45D05 Volterra integral equations [see also 34A12] 2003c:45005 Abdou, Mohamed A. Fredholm-Volterra integral equation and generalized potential kernel. Chang, Jung-Chan (with Shaw, Sen-Yen) Multiplicative and additive perturbations of (English summary) 2003d:45002 resolvent families. (English summary) 2003g:45006 Fredholm-Volterra integral equation with singular kernel. (English summary) On the Volterra integrodiﬀerential equations and applications. (English summary) 2003m:45002 2003i:45009 Amerio, Luigi Multiplicity of resolvent kernels and solutions of the Volterra singular Chen, Fang Qi Existence of solutions for nonlinear impulsive Volterra integral equations in equation of convolution type associated with problems with memory. (Italian. English Banach spaces. (English summary) 2003c:45006 and Italian summaries) 2003d:45003 Chistokletova, S. S. see Tsalyuk, Z. B., 2003j:45012 ı Arias, M. R. (with Ben´tez, R.) A note on the uniqueness and attractive behavior of Corduneanu, Constantin Functional equations with causal operators. 2003j:34112 solutions for nonlinear Volterra equations. (English summary) 2003a:45003 Coutin, Laure (with Decreusefond, Laurent) Stochastic Volterra equations with singular Balachandran, Krishnan (with Prakash, Periasamy) Existence of solutions of nonlinear kernels. (see 2003f:60009) fuzzy Volterra integral equations. (English summary) 2003k:45002 Decreusefond, Laurent see Coutin, Laure, (2003f:60009) Ben´tez, R. see Arias, M. R., 2003a:45003 ı De Pascale, Espedito (with De Pascale, Luigi) Fixed points for some non-obviously Berg, Lothar (with Kr¨ uppel, Manfred) Series expansions for the solution of an integral- contractive operators. (English summary) 2003h:47099 functional equation with a parameter. (English summary) 2003e:45002 De Pascale, Luigi see De Pascale, Espedito, 2003h:47099 Bijura, Angelina Singularly perturbed Volterra integral equations with weakly singular Dhage, Bapur Chandra (with Ntouyas, Sotiris K.; Tsamatos, Panagiotis Ch.) A ﬁxed point kernels. (English summary) 2003d:45004 theorem and its applications to nonlinear integral equations in Banach algebras. (English e Burton, T. A. (with Makay, G´ za) Continuity, compactness, ﬁxed points, and integral summary) 2003g:47097 equations. (English summary) 2003i:45001 El-Bary, A. A. Fredholm-Volterra integral equation in three dimensional problem with Chen, Fang Qi (with Chen, Yu Shu) Global solutions of systems of nonlinear impulsive Macdonald kernel. (English summary) Volterra integral equations in Banach spaces. (Chinese. English and Chinese summaries) Fagnani, Fabio (with Pandolﬁ, Luciano) A recursive algorithm for the approximate 2003c:45002 solution of Volterra integral equations of the ﬁrst kind of convolution type. (English Chen, Yu Shu see Chen, Fang Qi, 2003c:45002 summary) 2003m:65237 45D05 INTEGRAL EQUATIONS 2003 1174 Georgiou, D. N. (with Kougias, I. E.) On fuzzy Fredholm and Volterra integral equations. 45Exx Singular integral equations [see also 30E20, (English summary) 2003d:45001 Guo, Fei (with Zheng, Qing Yu) The unique solution of a Volterra integral equation in 30E25, 44A15, 44A35] abstract spaces and its applications. (Chinese. English and Chinese summaries) Items with secondary classiﬁcations in 45Exx Gusarenko, A. On linear equations with generalized Volterra operators. (English summary) 2003j:34114 (B¨ ttcher, Albrecht) see Toeplitz matrices and singular integral equations, 2003d:47001 o (Gohberg, Israel) see Toeplitz matrices and singular integral equations, 2003d:47001 Haidar, Nassar H. S. Composite surface integral transforms in neutron therapy of cancer. (English summary) 2003j:92005 (Junghanns, Peter) see Toeplitz matrices and singular integral equations, 2003d:47001 (Silbermann, Bernd) see Toeplitz matrices and singular integral equations, 2003d:47001 Horvat, Vilmoˇ (with Rogina, Mladen) Tension spline collocation methods for singularly s perturbed Volterra integro-diﬀerential and Volterra integral equations. (English Items listed otherwise than by author summary) 2003h:65180 Festschrift: Hosseini, S. Mohammad (with Shahmorad, S.) Numerical solution of a class of integro- Silbermann, Bernd Toeplitz matrices and singular integral equations. 2003d:47001 diﬀerential equations by the tau method with an error estimation. (English summary) Pobershau Toeplitz matrices and singular integral equations. 2003d:47001 2003i:65136 Toeplitz matrices and singular integral equations Toeplitz matrices and singular integral Islam, Raﬁqul M. see Biazar, J. et al., 2003k:45011 equations. 2003d:47001 Kalla, Shyam L. see Ali, Ismail et al., 2003f:45008 Kaminski˘, A. A. (with Pod¯l chuk, ¯ Yu.) On the maximal error of the method of operator ı ı I. continued fractions for the solution of problems of linear viscoelasticity. (Ukrainian. 45E05 Integral equations with kernels of Cauchy type English, Russian and Ukrainian summaries) [see also 35J15] Kilbas, A. A. (with Trujillo, Juan J.) Diﬀerential equations of fractional order: methods, Alekhna, Pyatras A characteristic singular integral equation with a plus-inﬁnite index of results and problems. I. (English summary) 2003a:34016 logarithmic order. (Russian. Russian and Lithuanian summaries) 2003h:45002 Kirk, C. M. (with Roberts, Catherine A.) A quenching problem for the heat equation. Alekna, Petras A homogeneous characteristic singular integral equation with an inﬁnite (English summary) 2003g:35129 index of logarithmic order. (Russian. Lithuanian summary) 2003e:45003 (with Olmstead, W. E.) Blow-up in a reactive-diﬀusive medium with a moving heat Amer, S. M. (with Nagdy, A. S.) On the solvability of nonlinear singular integral and source. (English summary) 2003b:35106 integro-diﬀerential equations of Cauchy type. (English and Arabic summaries) Kiryakova, Virginia see Ali, Ismail et al., 2003f:45008 An approximate solution for the one-dimensional singular integral equations. (English Kolmanovski˘, V. B. (with Richard, Jean-Pierre) Estimation of the solutions of Volterra ı and Arabic summaries) diﬀerence equations. 2003h:39002 ¨ Boyadzhiev, L. I. (with Dobner, Hans-Jurgen) Fractional free electron laser equations. Kougias, I. E. see Georgiou, D. N., 2003d:45001 (English summary) 2003d:45006 Kr¨ ppel, Manfred see Berg, Lothar, 2003a:39025 u Cai, Guo Cai (with Wang, Chuan Rong) The stability of Cauchy-kernel singular integrals Liu, Xiao Bo (with Pan, Li Ping) Minimax optimal controls of Volterra integral systems. with respect to integral curves of the class R. (Chinese. English and Chinese summaries) (Chinese. English and Chinese summaries) 2003h:49036 Carabineanu, Adrian Remarks on the solutions of the integral equation of thin proﬁles. Logemann, Hartmut (with Ryan, Eugene P.) Systems with hysteresis in the feedback (English summary) 2003c:45003 loop: existence, regularity and asymptotic behaviour of solutions. (English summary) Castro, L. P. (with Duduchava, R.; Speck, Frank-Olme) Singular integral equations on 2003k:45013 piecewise smooth curves in spaces of smooth functions. (English summary) 2003g:45004 Ma, Qing Hua (with Yang, En Hao) Some new Gronwall-Bellman-Bihari type integral Chakrabarti, Aloknath (with Manam, S. R.) Solution of a logarithmic singular integral inequalities with delay. (English summary) 2003d:26020 equation. (English summary) 2003m:45004 Marzouki, B. Fixed point theorem and application in modular space. (English summary) Dobner, Hans-J¨ rgen see Boyadzhiev, L. I., 2003d:45006 u 2003d:47080 Duduchava, R. see Castro, L. P. et al., 2003g:45004 Fang, Yan Bing see Han, Hui Li Mitter, Sanjoy K. see Bazzi, Louay, 2003k:68131 Galimyanov, A. F. On direct methods for solving integral equations with logarithmically Moustafa, Osama L. see Abdou, Mohamed A., 2003m:45001 weakened Cauchy kernels on open curves. (Russian) 2003h:45003 Myshkis, A. D. Generalization of the abstract analog of Volterra integral equations. Han, Hui Li (with Fang, Yan Bing) Singular integral equations with complex translations (English summary) 2003d:45023 on a closed curve. (Chinese. English and Chinese summaries) Abstract linear integral equations of Volterra type with noncompact integration domain. Imanbaev, N. S. On the Noethericity of a singular integral equation. (Russian. English, (English summary) 2003m:45018 Russian and Kazakh summaries) 2003d:45007 Nordtvedt, J.-E. see Subbey, Sam, 2003h:65044 Kovaleva, G. V. Normalization of systems of singular integral equations. (Russian. Russian Ntouyas, Sotiris K. see Dhage, Bapur Chandra et al., 2003g:47097 summary) Olmstead, W. E. see Kirk, C. M., 2003b:35106 Krutitskii, Pavel A. Integral operators related to boundary value problems in 2-D domains Pachpatte, B. G. A note on certain integral inequality. (English summary) 2003i:26015 with cuts. 2003h:45004 Pan, Li Ping see Liu, Xiao Bo, 2003h:49036 Li, Hong-yan (with Wang, Xiao Lin1 ) The generalized inverse of singular integral Pandolﬁ, Luciano see Fagnani, Fabio, 2003m:65237 operators on an open arc and its applications. (English summary) 2003d:45008 ı ¯ Pod¯l chuk, I. Yu. Inversion and multiplication of resolvent integral operators of viscoelas- Li, Xian Fang (with Rong, Er-Qian) Solution of a class of two-dimensional integral ticity in the case of complex parameters. (Ukrainian. English, Russian and Ukrainian equations. (English summary) 2003f:45004 summaries) 2003k:74011 Lu, Jian Ke (with Zhang, Gui Sheng) Singular integral equations with solutions having see also Kaminski˘, A. A. ı singularities of order one. (Chinese. English and Chinese summaries) 2003e:45004 Rashed, M. T. An expansion method to treat integral equations. (English summary) Solution of a nonlinear singular integral equation. (Chinese. English and Chinese 2003h:45012 summaries) 2003i:45004 Manam, S. R. see Chakrabarti, Aloknath, 2003m:45004 Richard, Jean-Pierre see Kolmanovski˘, V. B., 2003h:39002 ı Nagdy, A. S. see Amer, S. M. Roberts, Catherine A. see Kirk, C. M., 2003g:35129 Nguyen Tan Hoa Characterization of singular integral equations. 2003h:45005 Rogina, Mladen see Horvat, Vilmoˇ, 2003h:65180 s Rong, Er-Qian see Li, Xian Fang, 2003f:45004 Ryan, Eugene P. see Logemann, Hartmut, 2003k:45013 Sacaliuc, Constantin see Terbeche, Mekki et al., 2003e:45005 Rzepka, B. see Bana´, J´ zef, 2003h:45007 s o Speck, Frank-Olme see Castro, L. P. et al., 2003g:45004 Saginashvili, A. On Volterra type singular integral equations. (English summary) Terbeche, Mekki (with Sacaliuc, Constantin; Vornicescu, Galina) Solutions of some 2003d:45010 singular integral equation. (English summary) 2003e:45005 Shahmorad, S. see Hosseini, S. Mohammad, 2003i:65136 Vornicescu, Galina see Terbeche, Mekki et al., 2003e:45005 Shaw, Sen-Yen see Chang, Jung-Chan, 2003g:45006 Wang, Chuan Rong see Cai, Guo Cai Subbey, Sam (with Nordtvedt, J.-E.) Capillary pressure curves from centrifuge data: a Wang, Xiao Lin1 A class of singular integral equations with kernel having singularities of semi-iterative approach. (English summary) 2003h:65044 order one. (Chinese. English and Chinese summaries) 2003j:45006 Tarzia, Domingo A. A Stefan problem for a non-classical heat equation. (English and see also Li, Hong-yan, 2003d:45008 Spanish summaries) 2003j:35337 Zhang, Gui Sheng see Lu, Jian Ke, 2003e:45004 Trujillo, Juan J. see Kilbas, A. A., 2003a:34016 Items with secondary classiﬁcations in 45E05 Tsalyuk, Z. B. (with Chistokletova, S. S.) Asymptotic behavior of solutions of Volterra- Hammerstein equations. (Russian) 2003j:45012 Alekna, Petras The Riemann boundary value problem with an inﬁnite index of logarithmic order. (Russian. Lithuanian summary) 2003i:30061 Tsamatos, Panagiotis Ch. see Dhage, Bapur Chandra et al., 2003g:47097 Aliev, N. A. (with Hosseini, S. Mohammad) A regularization of Fredholm type singular Tsapovs ka, Zh. Ya. Solution of a parabolic conjugation problem in a noncylindrical integral equations. (English summary) 2003e:45015 domain by the potential method. (Ukrainian. English, Russian and Ukrainian e Axelsson, Andreas (with Grognard, Ren´ ; Hogan, J. A.; McIntosh, Alan) Harmonic summaries) analysis of Dirac operators on Lipschitz domains. (English summary) 2003b:30057 Vanualailai, Jito Some stability and boundedness criteria for a class of Volterra integro- Bo˘kov, I. V. (with Kudryashova, N. Yu.) Approximate methods for solving singular ı diﬀerential systems. (English summary) 2003d:34103 integral equations in exceptional cases. (Russian. Russian summary) 2003b:65138 Wang, Liqiu An analytical solution of a class of Volterra integral equations and its B¨ ttcher, Albrecht (with Karlovich, Yu. I.) Cauchy’s singular integral operator and its o application in solving diﬀerential equations. (English summary) 2003c:34010 beautiful spectrum. (English summary) 2003a:47101 Wazwaz, Abdul-Majid A reliable treatment for mixed Volterra-Fredholm integral equations. Cardos, Vladimir Solution uniqueness of the problem of 3D ﬂow. (English summary) ¸ (English summary) 2003a:65120 2003f:76023 Xu, Yuesheng see Brenner, Marty, 2003f:93028 Dzhangibekov, G. On a class of two-dimensional singular integral operators and its Yang, En Hao see Ma, Qing Hua, 2003d:26020 applications to boundary value problems for elliptic systems of equations in the plane. Zheng, Qing Yu see Guo, Fei (English summary) 2003g:30011 1175 2003 45E Singular integral equations 45E99 On some two-dimensional singular integral operators on a bounded domain. (Russian) Mohamed, Khamis I. see Abdou, Mohamed A. et al., 2003e:45006 2003i:30058 O’Regan, Donal see Agarwal, Ravi P., 2003d:45009 Ermolaeva, L. B. Solution of integral equations by the subdomain method. (Russian) Raina, R. K. (with Srivastava, Hari M.; Kilbas, A. A.; Saigo, Megumi) Solvability of some 2003i:65134 Abel-type integral equations involving the Gauss hypergeometric function as kernels in Fedotov, A. I. On the asymptotic convergence of the polynomial collocation method for the spaces of summable functions. (English summary) 2003i:45005 singular integral equations and periodic pseudodiﬀerential equations. (English summary) Rao, Murali (with Shen, Li-Chien) Application of the Borel transform to the study of the 2003d:65114 spectrum of integral equations whose kernels are entire functions of exponential type. Gordadze, E. On a problem of linear conjugation in the case of nonsmooth lines and some (English summary) 2003e:45008 measurable coeﬃcients. (English summary) 2003j:30058 Saginashvili, A. On Volterra type singular integral equations. (English summary) Grekov, M. A. Сингулярная плоская задача теории упругости. (Russian. Russian 2003d:45010 summary) [A singular plane problem in the theory of elasticity] 2003i:74024 Saigo, Megumi see Raina, R. K. et al., 2003i:45005 Grognard, Ren´ see Axelsson, Andreas et al., 2003b:30057 e Shen, Li-Chien see Rao, Murali, 2003e:45008 Gusenkova, A. A. Integral equations with logarithmic singularities in kernels of two- Shen, Yong Xiang see Sun, Feng Qi dimensional problems for anisotropic bodies with a defect. (Russian. Russian summary) Srivastava, Hari M. see Raina, R. K. et al., 2003i:45005 2003f:74025 Subası, Murat A stability estimate for convolution equation. (English summary) ¸ Hansen, Olaf The mapping properties of the radiosity operator along an edge. (English 2003f:45006 summary) 2003g:78008 Sun, Feng Qi (with Shen, Yong Xiang) Solution methods for a class of dual complete Hogan, J. A. see Axelsson, Andreas et al., 2003b:30057 singular integral equations with two convolution kernels. (Chinese. English and Chinese Hosseini, S. Mohammad see Aliev, N. A., 2003e:45015 summaries) ¨ Junghanns, Peter (with Muller, Katja; Rost, Karla) On collocation methods for nonlinear Voronin, A. F. A uniqueness theorem for a convolution equation of the ﬁrst kind with a Cauchy singular integral equations. (English summary) 2003h:65181 diﬀerentiable kernel on an interval. (Russian. Russian summary) 2003f:45007 (with Rathsfeld, Andreas) On polynomial collocation for Cauchy singular integral equations with ﬁxed singularities. (English summary) 2003c:65148 Items with secondary classiﬁcations in 45E10 Karlovich, Yu. I. see B¨ ttcher, Albrecht, 2003a:47101 o Antipov, Yuri A. Diﬀraction of a plane wave by a circular cone with an impedance Kudryashova, N. Yu. see Bo˘kov, I. V., 2003b:65138 ı boundary condition. (English summary) 2003c:78007 Lin, Liang Yu (with Qiu, Chun Hui) The singular integral equation on a closed piecewise Baik, Jinho (with Rains, Eric M.) The asymptotics of monotone subsequences of smooth manifold in C n . (English summary) 2003i:32007 involutions. (English summary) 2003e:60016 Liu, Hong Ai (with Wang, Chuan Rong) Stability of solutions of compound boundary Bijura, Angelina Singularly perturbed Volterra integral equations with weakly singular value problems for the perturbation of boundary curves. (Chinese. English and Chinese kernels. (English summary) 2003d:45004 summaries) Bonaccorsi, Stefano (with Tubaro, Luciano) Mittag-Leﬄer’s function and stochastic linear McIntosh, Alan see Axelsson, Andreas et al., 2003b:30057 Volterra equations of convolution type. (English summary) 2003k:60160 M¨ ller, Katja see Junghanns, Peter et al., 2003h:65181 u Chang, Der-Chen On the boundary of Fourier and complex analysis: the Pompeiu problem. Nyaga, Vasile Some general questions of the theory of singular operators in the case of a (English summary) 2003c:32007 piecewise Lyapunov contour. (English summary) 2003i:47050 Chen, Fengxin Travelling waves for a neural network. (English summary) Qiu, Chun Hui see Lin, Liang Yu, 2003i:32007 ı Dybin, Vladimir (with Grudski˘, Serge˘ M.)ı Introduction to the theory of Toeplitz Radzhabov, N. R. An explicit solution to a class of a second kind complex integral equation operators with inﬁnite index. (English summary) 2003j:47031 with singular and super-singular kernel. (English summary) 2003g:30076 ElSheikh, M. G. see Gavdzinski˘, V. N. et al., 2003f:45012 ı Rakhimov, I. K. Projection methods for solving the singular integral Theodorsen equation. Gavdzinski˘, V. N. (with ElSheikh, M. G.; Maltseva, E. V.) On the justiﬁcation of ı (Russian) 2003k:45004 approximate unbounded solutions of mixed plane boundary value problems. (English Rathsfeld, Andreas see Junghanns, Peter, 2003c:65148 summary) 2003f:45012 Rost, Karla see Junghanns, Peter et al., 2003h:65181 Grudski˘, Serge˘ M. see Dybin, Vladimir, 2003j:47031 ı ı Ru, Chong Qing see Schiavone, Peter, 2003f:74032 Heatherly, Henry E. (with Huﬀman, Jason P.) Algebraic properties of the Mikusinski ´ Salimov, R. B. (with Shabalin, P. L.) On the solution of the Hilbert boundary value convolution algebra. (English summary) 2003e:44009 problem with an inﬁnite index and a countable set of points of discontinuity of the Huﬀman, Jason P. see Heatherly, Henry E., 2003e:44009 coeﬃcients. (Russian) 2003m:30086 (Iacob, Andrei) see Dybin, Vladimir, 2003j:47031 ` Samo˘lova, E. N. Spline approximations of the solution of a singular integro-diﬀerential ı Kakichev, V. A. The nonlinear convolutional equations solvable in closed form. (see equation. (Russian) 2003e:65244 2003c:00021) Schiavone, Peter (with Ru, Chong Qing) Integral solutions of boundary value problems Polyconvolution formation of ﬁnite integral transformations. (see 2003c:00021) with non-standard boundary conditions in a theory of bending of elastic plates. (English ı Khudyaev, S. I. (with Ko˘nova, L. V.) An approximate solution of an equation of V. A. summary) 2003f:74032 Ambartsumyan. (Russian. English and Russian summaries) 2003a:65118 Shabalin, P. L. see Salimov, R. B., 2003m:30086 Kilbas, A. A. (with Raina, R. K.; Saigo, Megumi; Srivastava, Hari M.) Solution of Abel- Shulaya, D. A. Solution of a linear integral equation of third kind. (English summary) type hypergeometric integral equation. (English summary) 2003b:26004 2003e:45001 Ko˘nova, L. V. see Khudyaev, S. I., 2003a:65118 ı Wang, Chuan Rong see Liu, Hong Ai Kot, Mark see Wang, Mei-Hui et al., 2003a:92026 Weber, Uwe Weighted polynomial approximation methods for Cauchy singular integral ı Kravchenko, Viktor (with Lebre, A. B.; Rodr´guez, J. S.) Factorization of singular integral equations in the non-periodic case. (English summary) 2003b:65143 operators with a Carleman shift and spectral problems. (English summary) 2003a:47102 Xu, Yong Jia The complex spline approximation of singular integral operators over an Kurbatov, V. G. Some algebras of operators majorized by a convolution. (English open arc. (English summary) 2003j:41045 summary) 2003i:47079 Zhao, Xin Quan see Zhong, Shou Guo Kuznetsov, Arkadi˘ Vasil evich see Vagizova, N. V., 2003k:76036 ı Zhong, Shou Guo (with Zhao, Xin Quan) Characteristic singular integral equations Lebre, A. B. see Kravchenko, Viktor et al., 2003a:47102 that have solutions with higher-order singularities. I. (Chinese. English and Chinese Litvinchuk, Georgii S. Solvability theory of boundary value problems and singular summaries) integral equations with shift. (English summary) 2003c:47086 (with Zhao, Xin Quan) Characteristic singular integral equations that have solutions Maltseva, E. V. see Gavdzinski˘, V. N. et al., 2003f:45012 ı with higher-order singularities. II. (Chinese. English and Chinese summaries) Mastroianni, Giuseppe (with Monegato, G.) Numerical solution of Mellin type equations via Wiener-Hopf equations. (English summary) 2003i:65133 45E10 Integral equations of the convolution type (Abel, Picard, Monegato, G. see Mastroianni, Giuseppe, 2003i:65133 Mydlarczyk, W. A Volterra inequality with the power type nonlinear kernel. (English Toeplitz and Wiener-Hopf type) [see also 47B35] summary) 2003a:45005 Abdou, Mohamed A. (with Mohamed, Khamis I.; Ismail, A. S.) Krein’s method for Napalkov, V. V., Jr. Complex analysis and the Cauchy problem for convolution operators. solving the singular integral equation of the ﬁrst kind. (English and Arabic summaries) (Russian. Russian summary) 2003f:47054 2003e:45006 Neubert, Michael G. see Wang, Mei-Hui et al., 2003a:92026 Agarwal, Ravi P. (with O’Regan, Donal) A note on a singular integral equation arising in a Raina, R. K. see Kilbas, A. A. et al., 2003b:26004 problem in communications. (English summary) 2003d:45009 Rains, Eric M. see Baik, Jinho, 2003e:60016 Engibaryan, N. B. Conservative systems of integral convolution equations on the half-line Rodr´guez, J. S. see Kravchenko, Viktor et al., 2003a:47102 ı and the whole line. (Russian. Russian summary) 2003m:45005 Saigo, Megumi see Kilbas, A. A. et al., 2003b:26004 Gorenﬂo, Norbert A new explicit solution method for the diﬀraction through a slit. Srivastava, Hari M. see Kilbas, A. A. et al., 2003b:26004 (English summary) 2003j:45007 Tubaro, Luciano see Bonaccorsi, Stefano, 2003k:60160 Iba˘dullaev, T. T. On an integral equation that arises in the theory of diﬀerential games. ı ı Vagizova, N. V. (with Kuznetsov, Arkadi˘ Vasil evich) Application of the Wiener-Hopf (Russian. English and Uzbek summaries) 2003j:45008 method to the problem of a two-layer ﬂow of a heavy ﬂuid in a channel. (Russian) Ismail, A. S. see Abdou, Mohamed A. et al., 2003e:45006 2003k:76036 Joshi, J. M. C. On a class of integral equations over C -like surfaces in D (Ω+ ) algebra(s). Voronin, A. F. A system of Volterra convolution equations of the ﬁrst kind on a ﬁnite (English summary) 2003e:45007 interval. (Russian. Russian summary) 2003f:45003 Khan, Arif M. see Kumbhat, R. K., 2003f:45005 and (2003g:00022) Wang, Mei-Hui (with Kot, Mark; Neubert, Michael G.) Integrodiﬀerence equations, Allee Kilbas, A. A. see Raina, R. K. et al., 2003i:45005 eﬀects, and invasions. (English summary) 2003a:92026 Kiyasov, S. N. Some classes of singular integral equations that are solvable in closed form. ¯ Zhupans ka, O. I. Frictional interaction of a rigid cylinder with an elastic half-space. (Russian) 2003j:45009 (Ukrainian. English, Russian and Ukrainian summaries) Kumbhat, R. K. (with Khan, Arif M.) Mellin convolution and I -function transformations. (English summary) (see 2003g:00022) (with Khan, Arif M.) Convolution of an integral equation with the I -function as its 45E99 None of the above, but in this section kernel. (English summary) 2003f:45005 Hansen, Olaf The local behavior of the solution of the radiosity equation at the vertices of 45E99 INTEGRAL EQUATIONS 2003 1176 polyhedral domains in R3 . (English summary) 2003a:45004 Raina, R. K. see Kilbas, A. A. et al., 2003e:45010 Li, Xing1 Closed form solution for a hypersingular integral equation of order n + 1. Saigo, Megumi see Kilbas, A. A. et al., 2003e:45010 (English summary) (see 2003g:00024) Srivastava, Hari M. see Kilbas, A. A. et al., 2003e:45010 Items with secondary classiﬁcations in 45E99 Items with secondary classiﬁcations in 45F99 Bitsadze, L. Application of singular integral equations in the boundary value problems of Crouzet, Jean-Francois Radon transform over cones and related deconvolution problems. ¸ electroelasticity. (English summary) 2003f:74019 (English summary) 2003c:44003 Brovenko, A. V. (with Melezhik, P. N.; Poedinchuk, A. E.) A regularization method for Nurekenov, T. K. Application of the Fourier method and a countable system of nonlinear a class of dual summatory equations. (Russian. English and Ukrainian summaries) integral equations to the solvability of an initial-boundary value problem for a class 2003d:45011 of second-order quasilinear hyperbolic equations. III. (Russian. English, Russian and Karelin, A. On the operator equality and some of its application. (English and Georgian Kazakh summaries) 2003f:35213 summaries) 2003f:47082 Lifanov, I. K. see Zakharov, E. V. et al., 2003k:65177 Lifanov, P. I. see Zakharov, E. V. et al., 2003k:65177 45Gxx Nonlinear integral equations [see also 47H30, Melezhik, P. N. see Brovenko, A. V. et al., 2003d:45011 Pallav, Rene (with Pedas, Arvet) Quadratic spline collocation method for weakly singular 47Jxx] integral equations and corresponding eigenvalue problem. (English and Lithuanian summaries) 2003m:65239 Pedas, Arvet see Pallav, Rene, 2003m:65239 45G05 Singular nonlinear integral equations Poedinchuk, A. E. see Brovenko, A. V. et al., 2003d:45011 Mohamed, Khamis I. see Saleh, M. H., 2003m:45006 Zakharov, E. V. (with Lifanov, I. K.; Lifanov, P. I.) Investigation of some hypersingular Mydlarczyk, W. A Volterra inequality with the power type nonlinear kernel. (English integral equations on a sphere. (Russian. Russian summary) 2003k:65177 summary) 2003a:45005 Rakhimov, I. K. Projection methods for solving the singular integral Theodorsen equation. (Russian) 2003k:45004 45Fxx Systems of linear integral equations Saleh, M. H. (with Mohamed, Khamis I.) On the approximate solution of one class of multidimensional nonlinear singular integral equations. (English and Arabic summaries) 2003m:45006 45F05 Systems of nonsingular linear integral equations Items with secondary classiﬁcations in 45G05 Items with secondary classiﬁcations in 45F05 Agarwal, Ravi P. (with O’Regan, Donal) Singular integral equations arising in Homann Kovalev, O. V. see Vatul yan, A. O. et al., 2003g:65157 ﬂow. (English summary) 2003h:34030 Amer, S. M. (with Nagdy, A. S.) On the solvability of nonlinear singular integral and Lanza de Cristoforis, Massimo (with Rogozin, S. V.) Analyticity of a nonlinear operator associated to the conformal representation of a doubly connected domain in Schauder integro-diﬀerential equations of Cauchy type. (English and Arabic summaries) Dhage, Bapur Chandra (with Ntouyas, Sotiris K.; Tsamatos, Panagiotis Ch.) A ﬁxed point spaces. (English summary) 2003d:30010 Rogozin, S. V. see Lanza de Cristoforis, Massimo, 2003d:30010 theorem and its applications to nonlinear integral equations in Banach algebras. (English summary) 2003g:47097 Soloviev, Arkadiy Nikolaevich see Vatul yan, A. O. et al., 2003g:65157 Falaleev, M. V. see Sidorov, Nikola˘ Aleksandrovich et al., 2003m:47128 ı Vatul yan, A. O. (with Kovalev, O. V.; Soloviev, Arkadiy Nikolaevich) A new method of Lanza de Cristoforis, Massimo (with Rogozin, S. V.) Analyticity of a nonlinear operator boundary integral equations in boundary value problems for elliptic operators and its associated to the conformal representation of a doubly connected domain in Schauder numerical realization. (Russian. English summary) 2003g:65157 spaces. (English summary) 2003d:30010 Loginov, B. V. see Sidorov, Nikola˘ Aleksandrovich et al., 2003m:47128 ı 45F10 Dual, triple, etc., integral and series equations Meehan, Maria (with O’Regan, Donal) Positive solutions of Volterra integral equations using integral inequalities. (English summary) 2003g:45003 Avsyankin, O. G. On an application of the projection method to paired integral operators Nagdy, A. S. see Amer, S. M. with homogeneous kernels. (Russian) 2003k:45003 Ntouyas, Sotiris K. see Dhage, Bapur Chandra et al., 2003g:47097 Bajpai, Poonam see Dwivedi, A. P. et al., 2003b:45003 O’Regan, Donal see Meehan, Maria, 2003g:45003 and Agarwal, Ravi P., 2003h:34030 Brovenko, A. V. (with Melezhik, P. N.; Poedinchuk, A. E.) A regularization method for Rogozin, S. V. see Lanza de Cristoforis, Massimo, 2003d:30010 a class of dual summatory equations. (Russian. English and Ukrainian summaries) Sidorov, Nikola˘ Aleksandrovich (with Loginov, B. V.; Sinitsyn, Aleksandr; Falaleev, M. V.) ı 2003d:45011 Lyapunov-Schmidt methods in nonlinear analysis and applications. 2003m:47128 Chandel, Jyotsna see Dwivedi, A. P. et al., 2003b:45003 ´ Sinitsyn, Aleksandr see Sidorov, Nikola˘ Aleksandrovich et al., 2003m:47128 ı Ciaurri, Oscar (with Varona, Juan L.) Double integral equations with Bessel functions of Tsamatos, Panagiotis Ch. see Dhage, Bapur Chandra et al., 2003g:47097 diﬀerent order. (Spanish. English summary) 2003h:45006 Dhaliwal, R. S. see Singh, Brij M. et al., 2003e:45009 Dwivedi, A. P. (with Chandel, Jyotsna; Bajpai, Poonam) Triple integral equations involving 45G10 Other nonlinear integral equations inverse ﬁnite Mellin transforms. (English summary) 2003b:45003 Andonowati see Tam, K. Kuen et al., 2003m:45011 Melezhik, P. N. see Brovenko, A. V. et al., 2003d:45011 Aramyan, R. G. An approach to generalized Funk equations. I. (English summary) Poedinchuk, A. E. see Brovenko, A. V. et al., 2003d:45011 2003d:45012 Rokne, J. see Singh, Brij M. et al., 2003e:45009 Asselah, Amine (with Nussbaum, Roger D.) Existence, uniqueness and analyticity Singh, Brij M. (with Dhaliwal, R. S.; Rokne, J.) The elementary solution of triple for periodic solutions of a non-linear convolution equation. (English summary) series equations involving series of Legendre polynomials and their application to an 2003b:45004 electrostatic problem. (English summary) 2003e:45009 ´ Bai, Jin Dong (with Liu, Xiu Yuan) Existence of solutions for Hammerstein-type Varona, Juan L. see Ciaurri, Oscar, 2003h:45006 nonlinear integral equations. (Chinese. English and Chinese summaries) 2003m:45007 Items with secondary classiﬁcations in 45F10 Bana´, J´ zef (with Rzepka, B.) An application of a measure of noncompactness in the s o Banerjea, S. (with Kar, C. C.) Evaluation of wave amplitude for a class of water wave study of asymptotic stability. (English summary) 2003h:45007 problems. (English summary) 2003c:76013 Bardaro, Carlo (with Musielak, Julian; Vinti, Gianluca) On nonlinear integral equations in Garg, O. P. (with Kumar, Virendra) Some ﬁnite double integrals involving special some function spaces. (English summary) 2003d:45013 functions and multivariable H -function. (English summary) Candito, Pasquale Implicit integral equations with discontinuous nonlinearities. (English Kar, C. C. see Banerjea, S., 2003c:76013 summary) 2003m:45008 a Kumar, Virendra see Garg, O. P. Corduneanu, Adrian On the inequality f(x) ≤ K0 + α(x) M (s)g(f(s))ds. 2003e:45011 Mandrik, P. A. Application of Laplace and Hankel transforms to solution of mixed Darwish, Mohamed Abdalla On integrable solutions of a functional-integral equation. nonstationary boundary value problems. (English summary) 2003f:35135 (English summary) 2003b:45005 Shen, Yong Xiang see Sun, Feng Qi see also El-Bary, A. A. et al., 2003j:45010 Sun, Feng Qi (with Shen, Yong Xiang) Solution methods for a class of dual complete El-Bary, A. A. (with Darwish, Mohamed Abdalla; El-Sayed, W. G.) On an existence singular integral equations with two convolution kernels. (Chinese. English and Chinese theorem for Urysohn integral equations via measure of noncompactness. (English summaries) summary) 2003j:45010 El-Sayed, W. G. see El-Bary, A. A. et al., 2003j:45010 Fang, Gen Sun Eigenvalues of integral equations. (Chinese. English and Chinese sum- 45F15 Systems of singular linear integral equations maries) 2003m:45009 Guo, Meng-shu (with Xue, Xiao-ping; Li, Rong Lu) Fuzzy integral equations and Items with secondary classiﬁcations in 45F15 boundary value problems for fuzzy diﬀerential equations. (English and Chinese Itou, Hiromichi (with Tani, Atusi) A boundary value problem for an inﬁnite elastic strip summaries) 2003i:45006 with a semi-inﬁnite crack. (English summary) 2003m:35055 Karakostas, George L. (with Tsamatos, Panagiotis Ch.) Multiple positive solutions of Karelin, A. On the operator equality and some of its application. (English and Georgian some Fredholm integral equations arisen from nonlocal boundary-value problems. summaries) 2003f:47082 (English summary) 2003e:45012 Tani, Atusi see Itou, Hiromichi, 2003m:35055 Kiang, M. T. see Tam, K. Kuen et al., 2003m:45011 Li, Rong Lu see Guo, Meng-shu et al., 2003i:45006 Liu, Jin Sheng2 see Zhang, Hong Bin, 2003k:45006 45F99 None of the above, but in this section Liu, Xiu Yuan see Bai, Jin Dong, 2003m:45007 Kilbas, A. A. (with Raina, R. K.; Saigo, Megumi; Srivastava, Hari M.) Solution of Abel- Muresan, Viorica On some functional-integral equations with linear modiﬁcation of the ¸ type hypergeometric integral equation. (English summary) 2003e:45010 argument. (English summary) 2003m:45010 1177 2003 45J Integro-ordinary diﬀerential equations 45J05 Musaev, V. M. On the diﬀerentiability with respect to the parameter of solutions of integral see also Meehan, Maria, 2003a:45002; Agarwal, Ravi P., 2003c:47105; 2003m:47140 and equations with two variable limits. (Russian. English summary) 2003k:45005 Dhage, Bapur Chandra, 2003g:47096 Musielak, Julian see Bardaro, Carlo et al., 2003d:45013 Prakash, Periasamy see Balachandran, Krishnan, 2003k:45002 Nussbaum, Roger D. see Asselah, Amine, 2003b:45004 Precup, Radu see O’Regan, Donal, 2003d:45024 Rzepka, B. see Bana´, J´ zef, 2003h:45007 s o Rodrigues, Patricia see Barichello, L. B. et al., 2003j:76089 Seikkala, Seppo (with Vorob ev, D. V.) Integral equations arising in boundary value Rus, Ioan A. A class of nonlinear functional-integral equations via weakly Picard problems at resonance. (see 2003a:00028) operators. (English summary) 2003c:45008 Tam, K. Kuen (with Andonowati; Kiang, M. T.) Sequential eigenfunction expansion for Siewert, C. E. see Barichello, L. B. et al., 2003j:76089 certain nonlinear Hammerstein equations. 2003m:45011 Sˆncelean, Anca On a class of functional-integral equations. (English summary) ı Tsamatos, Panagiotis Ch. see Karakostas, George L., 2003e:45012 2003h:47143 Vinti, Gianluca see Bardaro, Carlo et al., 2003d:45013 Sˆnt˘ m˘ rian, Alina Data dependence of the ﬁxed points of some Picard operators. (English ı a a Vorob ev, D. V. see Seikkala, Seppo, (2003a:00028) summary) 2003g:47108 Xue, Xiao-ping see Guo, Meng-shu et al., 2003i:45006 Sloss, Bruce Graydon A generalization of a Volterra integral equation. (English summary) Zhang, Hong Bin (with Liu, Jin Sheng2) A class of Hammerstein integral equations and 2003j:45005 their applications. (Chinese. English and Chinese summaries) 2003k:45006 Sun, Jing Xian see Zhang, Ke Mei Tsalyuk, Z. B. (with Chistokletova, S. S.) Asymptotic behavior of solutions of Volterra- Items with secondary classiﬁcations in 45G10 Hammerstein equations. (Russian) 2003j:45012 Agarwal, Ravi P. (with O’Regan, Donal) Multivalued nonlinear equations on the half line: Tsuboi, Zengo Integral equations for thermodynamics of the osp(1|2s) integrable spin a ﬁxed point approach. (English summary) 2003c:47105 chain. (English summary) 2003k:82022 (with O’Regan, Donal) Singular diﬀerential, integral and discrete equations: the Webb, Jeﬀrey R. L. see Infante, Gennaro, 2003h:47110 semipositone case. (English and Russian summaries) 2003m:47140 von Wolfersdorf, L. A class of quadratic integral-diﬀerential equations. (English summary) Al-Sirehy, Fatma see Fisher, Brian, 2003c:33003 2003d:45018 ı Arias, M. R. (with Ben´tez, R.) A note on the uniqueness and attractive behavior of On the solutions of a quadratic integral and an integral-diﬀerential equation. (English solutions for nonlinear Volterra equations. (English summary) 2003a:45003 summary) 2003d:45017 Balachandran, Krishnan (with Prakash, Periasamy) Existence of solutions of nonlinear Wu, Jian Hong see Lan, Kunquan, 2003h:35130 fuzzy Volterra integral equations. (English summary) 2003k:45002 Zhang, Ke Mei (with Sun, Jing Xian) Existence of positive solutions for a class of Bana´, J´ zef (with Lecko, Millenia) Fixed points of the product of operators in Banach s o Hammerstein nonlinear integral equations. (Chinese. English and Chinese summaries) algebra. (English summary) 2003c:47090 Zhao, Cong Jiang Fixed points of nonexpansive condensing mappings with respect Bardaro, Carlo (with Mantellini, Ilaria) On approximation properties of Urysohn integral to a given point and their application. (Chinese. English and Chinese summaries) operators. (English summary) 2003i:41025 2003i:47067 Barichello, L. B. (with Camargo, Mariza; Rodrigues, Patricia; Siewert, C. E.) An integral equation basic to the BGK model for ﬂow in a cylindrical tube. (English summary) 2003j:76089 45G15 Systems of nonlinear integral equations Benchohra, Mouﬀak (with Ntouyas, Sotiris K.) Controllability on inﬁnite time horizon Musaev, V. M. On the theory of integral equations with two variable limits. (Russian. of neutral functional diﬀerential and integrodiﬀerential inclusions in Banach spaces. English summary) 2003d:45014 (English summary) 2003k:93004 On some properties of the solution of integral equations system with two variable limits. Ben´tez, R. see Arias, M. R., 2003a:45003 ı (English and Azerbaijani summaries) 2003i:45007 Britvina, L. E. Polyconvolutions of the Hankel transform, and diﬀerential operators. Qiu, Zhong Hua (with Yan, Dun Yan) Eigenvalues and eigenvectors for systems (Russian) 2003h:44006 of Hammerstein integral equations. (Chinese. English and Chinese summaries) Camargo, Mariza see Barichello, L. B. et al., 2003j:76089 2003m:45012 Cernea, Aurelian On the set of solutions of a nonconvex integral inclusion. (English Yan, Dun Yan see Qiu, Zhong Hua, 2003m:45012 summary) 2003d:45021 Chistokletova, S. S. see Tsalyuk, Z. B., 2003j:45012 Items with secondary classiﬁcations in 45G15 Cr˘ ciun, Cecilia On some Gronwall inequalities. (English summary) 2003i:47083 a Kirk, C. M. (with Roberts, Catherine A.) A quenching problem for the heat equation. Darwish, Mohamed Abdalla On integral equations of Urysohn-Volterra type. (English (English summary) 2003g:35129 summary) 2003j:45004 Roberts, Catherine A. see Kirk, C. M., 2003g:35129 De Pascale, Espedito (with De Pascale, Luigi) Fixed points for some non-obviously Sun, Li Min2 Existence of solutions to systems of Volterra fuzzy integral equation in contractive operators. (English summary) 2003h:47099 n (Em , Dm ). (English and Chinese summaries) 2003i:45002 De Pascale, Luigi see De Pascale, Espedito, 2003h:47099 Tsuboi, Zengo Nonlinear integral equations for thermodynamics of the sl(r + 1) Uimin- Dhage, Bapur Chandra (with O’Regan, Donal) A ﬁxed point theorem in Banach algebras Sutherland model. (English summary) 2003m:82026 with applications to functional integral equations. (English summary) 2003g:47096 On a ﬁxed point theorem of Krasnoselkii-Schaefer type. (English summary) 2003b:47087 (with Ntouyas, Sotiris K.) Existence results for nonlinear functional integral equations 45H05 Miscellaneous special kernels [see also 44A15] via a ﬁxed point theorem of Krasnoselkii-Schaefer type. (English summary) [Existence Bajpai, Poonam see Dwivedi, A. P. et al. results for nonlinear-functional integral equations via a ﬁxed point theorem of Chandel, Jyotsna see Dwivedi, A. P. et al. Krasnosel ski˘-Schaefer type] 2003f:34117 ı Dwivedi, A. P. (with Chandel, Jyotsna; Bajpai, Poonam) Some n-tuple integral equations Dhakne, M. B. (with Lamb, G. B.) On global existence of solutions of abstract nonlinear involving inverse Mellin transforms. (English summary) integrodiﬀerential equations. (English summary) 2003d:45022 Khan, Arif M. see Kumbhat, R. K., (2003g:00022) Fisher, Brian (with Al-Sirehy, Fatma) On the cosine integral and the convolution. (English Kumbhat, R. K. (with Khan, Arif M.) A regularized approximate solution of the fractional summary) 2003c:33003 integral operator. (English summary) (see 2003g:00022) Frigon, Marl` ne Fixed point results for compact maps on closed subsets of Fr´ chet spaces e e Zhong, Wan Xie The integral equation with Hamilton kernel. (Chinese. English and and applications to diﬀerential and integral equations. (English summary) 2003b:47089 Chinese summaries) Georgiou, D. N. (with Kougias, I. E.) On fuzzy Fredholm and Volterra integral equations. (English summary) 2003d:45001 Items with secondary classiﬁcations in 45H05 Infante, Gennaro (with Webb, Jeﬀrey R. L.) Nonzero solutions of Hammerstein integral Bajpai, Poonam see Dwivedi, A. P. et al., 2003e:44005 equations with discontinuous kernels. (English summary) 2003h:47110 Chandel, Jyotsna see Dwivedi, A. P. et al., 2003e:44005 Eigenvalues of some non-local boundary-value problems. (English summary) Demianko, Svetlana V. see Kilbas, A. A., 2003h:45001 2003m:34152 Dwivedi, A. P. (with Chandel, Jyotsna; Bajpai, Poonam) Some ﬁve integral equations Kalinde, Albert K. Solving some nonlinear equations by successive approximations. involving inverse Mellin transforms. (English summary) 2003e:44005 (English summary) 2003g:47121 e ı Escobedo, Miguel (with Mischler, St´ phane; Perthame, Benoˆt) Gelation in coagulation Kougias, I. E. see Georgiou, D. N., 2003d:45001 and fragmentation models. (English summary) 2003m:82053 Lamb, G. B. see Dhakne, M. B., 2003d:45022 Kilbas, A. A. (with Demianko, Svetlana V.) Solution of integral equations with power- Lan, Kunquan (with Wu, Jian Hong) Travelling wavefronts of scalar reaction-diﬀusion logarithmic kernels in the class of integrable functions. (Russian. English and Russian equations with and without delays. (English summary) 2003h:35130 summaries) 2003h:45001 Lecko, Millenia see Bana´, J´ zef, 2003c:47090 s o Mischler, St´ phane see Escobedo, Miguel et al., 2003m:82053 e Liu, Xiao Ying Fixed points for T -monotone operators and applications. (English and Perthame, Benoˆt see Escobedo, Miguel et al., 2003m:82053 ı Chinese summaries) 2003e:47099 Ramm, Alexander G. Analytical solution of a new class of integral equations. (English Mantellini, Ilaria see Bardaro, Carlo, 2003i:41025 summary) 2003k:45001 Mastroeni, Loretta (with Matzeu, Michele) A stability result for a class of quasilinear vari- Sukhorol s ki˘, M. A. Generalized boundary integral equations in the theory of Timo- ı ational inequalities connected to a ﬁnancial problem. (English summary) 2003b:35119 shenko shells. (Ukrainian. English, Russian and Ukrainian summaries) Matzeu, Michele see Mastroeni, Loretta, 2003b:35119 Meehan, Maria (with O’Regan, Donal) A note on positive solutions of Fredholm integral equations and related boundary value problems. (English summary) 2003a:45002 45J05 Integro-ordinary diﬀerential equations Moore, Chika The solution by iteration of nonlinear equations of Hammerstein type. 2003g:47111 [see also 34K05, 34K30, 47G20] Ntouyas, Sotiris K. see Dhage, Bapur Chandra, 2003f:34117 and Benchohra, Mouﬀak, Ali, Ismail (with Kiryakova, Virginia; Kalla, Shyam L.) Solutions of fractional multi-order 2003k:93004 integral and diﬀerential equations using a Poisson-type transform. (English summary) O’Regan, Donal (with Precup, Radu) Integrable solutions of Hammerstein integral 2003f:45008 inclusions in Banach spaces. (English summary) 2003d:45024 Antipov, Yuri A. An integrodiﬀerential equation of atomic diﬀusion. (see 2003a:00028) 45J05 INTEGRAL EQUATIONS 2003 1178 Balachandran, Krishnan (with Park, Jong Yeoul) Existence of a mild solution of a (with Park, Jong Yeoul) Nonlocal Cauchy problem for Sobolev type functional functional integrodiﬀerential equation with nonlocal condition. (English summary) integrodiﬀerential equation. (English summary) 2003i:34177 2003a:45006 (with Park, Jong Yeoul) Existence of solutions of a class of abstract second order (with Prakash, Periasamy; Karunanidhi, S.; Kanakaraj, M.) Existence of solutions of nonlinear integrodiﬀerential equations. (English summary) 2003d:34163 fuzzy integrodiﬀerential equations. (English summary) 2003i:45008 (with Park, Dong Gun; Kwun, Young Chel) Comparison theorems for controllability of Balasubramaniam, P. Existence of a solution of a nonlinear integrodiﬀerential equation nonlinear Volterra integrodiﬀerential systems. (English summary) 2003a:93009 with an implicit derivative. (English summary) 2003m:45013 see also Kanakaraj, M., 2003a:34130 Bijura, Angelina Singularly perturbed Volterra integro-diﬀerential equations. (English Balasubramaniam, P. (with Dauer, J. P.) Controllability for semilinear fuzzy integrodiﬀer- summary) 2003f:45009 ential equations with nonlocal conditions. (English summary) 2003h:93007 Chang, Jung-Chan On the Volterra integrodiﬀerential equations and applications. (English Bastien, J´ rˆ me (with Schatzman, Michelle; Lamarque, Claude-Henri) Study of an eo summary) 2003i:45009 elastoplastic model with an inﬁnite number of internal degrees of freedom. (English Fukunaga, Masataka On initial value problems of fractional diﬀerential equations. summary) 2003c:74012 (English summary) 2003d:45015 Benchohra, Mouﬀak (with Ntouyas, Sotiris K.) Existence of solutions for second order Guo, Dajun A class of nth-order impulsive integrodiﬀerential equations in Banach spaces. semilinear functional integrodiﬀerential inclusions in Banach spaces. (English summary) (English summary) 2003k:45007 2003e:34146 A boundary value problem for nth order integro-diﬀerential equations in a Banach space. (with Ntouyas, Sotiris K.) Existence results on noncompact intervals for functional (English summary) 2003k:45008 diﬀerential and integro-diﬀerential inclusions in Banach spaces. (English and Georgian Guo, Fei see Liu, Li Shan et al., 2003j:45011 summaries) 2003c:34094 Hong, Shi Huang Periodic boundary value problems for second order integro-diﬀerential (with Ntouyas, Sotiris K.) Existence of mild solutions of second order initial value equations in Banach spaces. (English and Chinese summaries) 2003f:45010 problems for delay integrodiﬀerential inclusions with nonlocal conditions. (English Izs´ k, Ferenc An existence theorem for Volterra integrodiﬀerential equations with inﬁnite a summary) 2003h:34162 delay. (English summary) 2003k:45009 On second order integrodiﬀerential inclusions in Banach spaces. (English summary) Jiang, Xiu Ying (with Li, Yun Hui) The exact solution of an integro-diﬀerential equation 2003a:34129 in the reproducing kernel space W22 [0, 1]. (Chinese. English summary) Beretta, Edoardo see Ma, Wanbiao et al., 2003g:92038 Kalla, Shyam L. see Ali, Ismail et al., 2003f:45008 Bobodzhanov, A. A. (with Safonov, V. F.) Singularly perturbed nonlinear integro- Kanakaraj, M. see Balachandran, Krishnan et al., 2003i:45008 diﬀerential systems with rapidly changing kernels. (Russian. Russian summary) Karunanidhi, S. see Balachandran, Krishnan et al., 2003i:45008 2003j:34149 Kim, Jong Kyu see Liu, Li Shan et al., 2003j:45011 ¨ Boyadzhiev, L. I. (with Dobner, Hans-Jurgen) Fractional free electron laser equations. Kiryakova, Virginia see Ali, Ismail et al., 2003f:45008 (English summary) 2003d:45006 Krivosheya, Serg¯˘ A. Conditions of solvability for Noether boundary value problems for ıı Carstensen, Carsten (with Rynne, Bryan P.) A posteriori error control for ﬁnite element integro-diﬀerential systems. (Ukrainian. English and Ukrainian summaries) approximations of the integral equation for thin wire antennas. (English summary) Latyshev, Anatoli˘ Vasil evich (with Sushkov, V. V.) The canonical matrix of the vector ı 2003c:65145 Riemann-Hilbert boundary value problem and its application to boundary value Cernea, Aurelian A topological property of the solution set of an inﬁnite horizon, nonlinear problems in kinetic theory. (Russian. Russian summary) 2003e:45013 integrodiﬀerential inclusion. (English summary) 2003d:34024 Li, Xiao Ping4 A comparison theorem for diﬀerential-integral equations and a bounded- Chandrasekaran, M. see Balachandran, Krishnan et al., 2003d:34162 ness theorem. (Chinese. English and Chinese summaries) Cho, Yeol Je see Liu, Li Shan et al., 2003m:34183 Li, Yun Hui see Jiang, Xiu Ying Dauer, J. P. see Balasubramaniam, P., 2003h:93007 Liu, Li Shan (with Guo, Fei; Kim, Jong Kyu) Global solutions of initial value problems Dauylbaev, M. K. see Kasymov, K. A. et al., 2003d:34110 and 2003d:34111 for second order nonlinear integro-diﬀerential equations of mixed type in Banach spaces. Dhakne, M. B. (with Lamb, G. B.) On global existence of solutions of abstract nonlinear (English summary) 2003j:45011 integrodiﬀerential equations. (English summary) 2003d:45022 Liu, Ying (with Wu, Lu; Zhang, Ruo Jun) Boundedness and asymptotic property of the see also Lamb, G. B., 2003a:34131 solution for a class of quadratic integro-diﬀerential equations. (Chinese. English and Dobner, Hans-J¨ rgen see Boyadzhiev, L. I., 2003d:45006 u Chinese summaries) Domoshnitsky, Alexander (with Goltser, Ya. M.) Approach to study of bifurcations and (with Zhang, Ruo Jun) Boundedness and asymptotic behavior of solutions of a second- stability of integro-diﬀerential equations. (English summary) 2003j:34135 order nonlinear integro-diﬀerential equation. (Chinese. English and Chinese summaries) El-Abd, E. M. (with El-Attar, M. A.; El-Bendary, Sh.) On uniqueness and completeness Mitina, Anna Solutions of integro-diﬀerential equations on the half-axis with rapidly theorems for the root functions expansion of the nonlocal Sturm-Liouville integro- decreasing non-diﬀerence kernels. (English summary) 2003b:45006 diﬀerential operator. (English summary) 2003j:47063 Naulin, Ra´ l (with Vanegas, C. J.) Asymptotic formulas for the solutions of integro- u El-Attar, M. A. see El-Abd, E. M. et al., 2003j:47063 diﬀerential equations. (English summary) 2003d:45016 El-Bendary, Sh. see El-Abd, E. M. et al., 2003j:47063 Nef¨ dov, N. N. (with Omel chenko, O. E.) Boundary-layer solutions in second-order e Elgarayhi, A. see Al-Eideh, Basel M. et al., 2003i:60130 quasilinear integro-diﬀerential equations. (Russian. Russian summary) 2003h:45008 Elhanbaly, A. M. see Al-Eideh, Basel M. et al., 2003i:60130 Omel chenko, O. E. see Nef¨ dov, N. N., 2003h:45008 e El-Sayed, Ahmed M. A. (with Aly, Mohamed A. E.) Continuation theorem of fractional Park, Jong Yeoul see Balachandran, Krishnan, 2003a:45006 order evolutionary integral equations. (English summary) 2003c:34096 Prakash, Periasamy see Balachandran, Krishnan et al., 2003i:45008 El-Sayed, Salah M. (with Abdel-Aziz, Mohammedi R.) A comparison of Adomian’s Raeva, M. On the boundary value problem for a system of integral-diﬀerential equations. decomposition method and wavelet-Galerkin method for solving integro-diﬀerential (English summary) (see 2003b:00022) equations. (English summary) 2003j:65135 ˇ Smarda, Zdenˇ k On an initial value problem for singular integro-diﬀerential equations. e Favini, Angelo (with Lorenzi, Alfredo; Tanabe, Hiroki) Degenerate integrodiﬀerential (English summary) 2003i:45010 equations of Volterra type in Banach space. 2003j:45014 Sun, Jing Xian see Zhang, Xiao Yan, 2003m:45014 (with Lorenzi, Alfredo; Tanabe, Hiroki) Singular integro-diﬀerential equations of Sushkov, V. V. see Latyshev, Anatoli˘ Vasil evich, 2003e:45013 ı parabolic type. (English summary) 2003k:34147 Vanegas, C. J. see Naulin, Ra´ l, 2003d:45016 u Fedotov, A. I. On convergence of quadrature-diﬀerences method for linear singular integro- Wang, Quan Yi Existence and uniqueness of periodic solutions to linear integro-diﬀerential diﬀerential equations on the interval. 2003b:65141 equations. (Chinese. English and Chinese summaries) 2003e:45014 Gabbasov, N. S. New versions of spline methods for a class of integro-diﬀerential equations. von Wolfersdorf, L. A class of quadratic integral-diﬀerential equations. (English summary) (Russian. Russian summary) 2003j:65136 2003d:45018 Galperin, Eﬁm A. Generalized perturbation equation for integral and integro-diﬀerential On the solutions of a quadratic integral and an integral-diﬀerential equation. (English equations and applications. (English summary) 2003j:34138 summary) 2003d:45017 Gatermann, Karin (with Huber, Birkett) A family of sparse polynomial systems arising in Wu, Lu see Liu, Ying et al. chemical reaction systems. (English summary) 2003b:92031 Zhang, Ruo Jun see Liu, Ying et al. Goltser, Ya. M. see Domoshnitsky, Alexander, 2003j:34135 Zhang, Xiao Yan (with Sun, Jing Xian) Solutions of nonlinear second-order impulsive Guo, Dajun (with Liu, Xin Zhi) A boundary value problem for ﬁrst order impulsive integro-diﬀerential equations of mixed type in Banach spaces. (Chinese. English and integro-diﬀerential equations in Banach spaces. (English summary) 2003c:34136 Chinese summaries) 2003m:45014 Guo, Lin1 Boundary value problems for second-order integro-diﬀerential equations in Zheng, Xue Liang Solvability of a class of integro-diﬀerential equations. (Chinese. English Banach spaces. (Chinese. English and Chinese summaries) 2003m:34150 and Chinese summaries) 2003m:45015 Hao, Zhao Cai (with Liu, Li Shan) Global solutions of initial value problems for nonlinear integral-diﬀerential equations of mixed type in Banach spaces. (English summary) Items with secondary classiﬁcations in 45J05 2003k:34149 Abdel-Aziz, Mohammedi R. see El-Sayed, Salah M., 2003j:65135 Hara, Tadayuki see Ma, Wanbiao et al., 2003g:92038 Akhmetov, M. U. (with Zafer, A.; Seilova, R. D.) The control of boundary value problems Huber, Birkett see Gatermann, Karin, 2003b:92031 for quasilinear impulsive integro-diﬀerential equations. 2003h:49007 Ibrahim, A. G. Existence theorems on delay diﬀerential and integro-diﬀerential inclusions Al-Eideh, Basel M. (with Elgarayhi, A.; Elhanbaly, A. M.) The asymptotic distribution with constraints in Banach spaces. (English summary) 2003g:34132 and probabilities for the extinction time of a diﬀusion model and uniform catastrophe Ji, Fajun see Zhang, Hong Qian et al. process. (English summary) 2003i:60130 Jin, Ming Zhong2 see Wei, Zhong Li, 2003f:34151 Aly, Mohamed A. E. see El-Sayed, Ahmed M. A., 2003c:34096 Kanakaraj, M. (with Balachandran, Krishnan) Existence of solutions of quasilinear Appleby, John A. D. (with Reynolds, David W.) Subexponential solutions of linear integro- integrodiﬀerential equations in Banach spaces. (English summary) 2003a:34130 diﬀerential equations and transient renewal equations. (English summary) 2003d:34159 Kasymov, K. A. (with Dauylbaev, M. K.) Asymptotic behavior of the solution of singularly Ayad, Ahmet The numerical solution of ﬁrst order delay integro-diﬀerential equations by perturbed essentially nonlinear integrodiﬀerential equations of Volterra type. (Russian) spline functions. (English summary) 2003b:65137 2003d:34110 Balachandran, Krishnan (with Park, Jong Yeoul; Chandrasekaran, M.) Nonlocal Cauchy (with Dauylbaev, M. K.; Nurgabylov, E. D.) The Cauchy problem with an initial jump problem for delay integrodiﬀerential equations of Sobolev type in Banach spaces. for second-order linear integrodiﬀerential equations. (Russian) 2003d:34111 (English summary) 2003d:34162 Kuramoto, Yoshiki Reduction methods applied to non-locally coupled oscillator systems. 1179 2003 45K Integro-partial diﬀerential equations 45K05 2003j:35174 Zecca, Pietro see Obukhovski˘, V. V. et al., 2003f:47103 ı Kwun, Young Chel see Balachandran, Krishnan et al., 2003a:93009 Zhang, Hong Qian (with Ji, Fajun; Tian, Zhiping) The existence of solutions of mixed Lamarque, Claude-Henri see Bastien, J´ rˆ me et al., 2003c:74012 eo boundary value problem for a class of third order diﬀerential equations in Banach spaces. Lamb, G. B. (with Dhakne, M. B.) On global existence of solutions of nonlinear (English summary) integrodiﬀerential equations in Banach spaces. (English summary) 2003a:34131 Existence of maximal and minimal solutions for nonlinear integro-diﬀerential equations see also Dhakne, M. B., 2003d:45022 of mixed type in Banach spaces. (Chinese. English and Chinese summaries) 2003d:45025 Lee, Haeng Joo (with Park, Jeongyo; Park, Jong Yeoul) Existence results for second- Zhang, Jinqing Maximal and minimal ﬁxed points of discontinuous increasing operators order neutral functional diﬀerential and integrodiﬀerential inclusions in Banach spaces. with applications. (English summary) 2003e:47102 (English summary) 2003h:34166 Zhang, Tie (with Lin, Yan-ping; Tait, Robert J.) On the ﬁnite volume element version Li, Yong Xiang Existence of solutions to initial value problems for integro-diﬀerential of Ritz-Volterra projection and applications to related equations. (English summary) equations in Banach spaces. (Chinese. English and Chinese summaries) 2003k:34150 2003h:65184 Lin, Yan-ping see Zhang, Tie et al., 2003h:65184 Zhang, Xiao Yan see Liu, Li Shan et al., 2003m:34183 Liu, Li Shan (with Zhang, Xiao Yan; Cho, Yeol Je) Solutions of the second order Zhang, Yu Zhong2 Global solutions of initial value problems for a fourth-order nonlin- nonlinear impulsive integro-diﬀerential equations of mixed type in Banach spaces. ear integro-diﬀerential equation in Banach spaces. (Chinese. English and Chinese sum- (English summary) 2003m:34183 maries) see also Hao, Zhao Cai, 2003k:34149 Zheng, Yong-hong see Xue, Ya-kui, 2003m:34164 Liu, Xin Zhi see Guo, Dajun, 2003c:34136 Zvyagin, Viktor G. see Obukhovski˘, V. V. et al., 2003f:47103 ı Lorenzi, Alfredo see Favini, Angelo et al., 2003j:45014 and 2003k:34147 Ma, Wanbiao (with Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo) Permanence of an SIR epidemic model with distributed time delays. (English summary) 2003g:92038 45K05 Integro-partial diﬀerential equations Mazouzi, S. (with Tatar, N.-e.) Global existence for some integro-diﬀerential equations with delay subject to non-local conditions. (English summary) 2003d:34172 [see also 34K30, 35R10, 47G20] Mohamad, S. (with Naim, A. G.) Discrete-time analogues of integrodiﬀerential equations ı Agoshkov, V. I. (with Dubovski˘, Pavel B.) Solution of the reconstruction problem of modelling bidirectional neural networks. (English summary) 2003b:65077 a source function in the coagulation-fragmentation equation. (English summary) Naim, A. G. see Mohamad, S., 2003b:65077 2003h:45009 Nakagiri, Shin-Ichi see Vanualailai, Jito Bal, Guillaume Transport through diﬀusive and nondiﬀusive regions, embedded objects, Nishimoto, Katsuyuki Extended N -fractional and partial diﬀerintegral equations. (English and clear layers. (English summary) 2003h:45010 summary) Berzhanov, A. B. Solutions, multiperiodic with respect to some of the variables, of a Ntouyas, Sotiris K. see Benchohra, Mouﬀak, 2003c:34094; 2003e:34146 and 2003h:34162 system of integro-partial diﬀerential equations. (Russian. English, Russian and Kazakh Nurgabylov, E. D. see Kasymov, K. A. et al., 2003d:34111 summaries) 2003d:45019 Obukhovski˘, V. V. (with Zecca, Pietro; Zvyagin, Viktor G.) On coincidence index for ı see also Sarsenba˘, A. S. et al. ı multivalued perturbations of nonlinear Fredholm maps and some applications. (English Chen, Lan Sun see Xiao, Yan Ni et al., 2003m:45016 summary) 2003f:47103 Chen, Ren Zhao (with Zhang, Dan Song; Li, Jian Quan2) Existence and uniqueness of Odibat, Zaid (with Shawagfeh, Nabil T.) N -fractional calculus method to a class of linear solution and boundary control for population systems with spatial diﬀusion. (Chinese. integro-diﬀerential equations. (English summary) 2003i:30060 English and Chinese summaries) 2003a:45007 Park, Dong Gun see Balachandran, Krishnan et al., 2003a:93009 Dubovski˘, Pavel B. see Agoshkov, V. I., 2003h:45009 ı Park, Jeongyo see Lee, Haeng Joo et al., 2003h:34166 Eshima, Nobuoki see Tabata, Minoru, 2003f:45011 Park, Jong Yeoul see Balachandran, Krishnan et al., 2003d:34162; 2003d:34163; 2003i:34177 Janno, J. (with Lorenzi, Alfredo) Recovering degenerate kernels in hyperbolic integro- and Lee, Haeng Joo et al., 2003h:34166 diﬀerential equations. (English summary) 2003d:45020 Pham Thi Bach Ngoc On the ﬁrst mixed boundary value problems for linear equations with Jeribi, Aref A nonlinear problem arising in the theory of growing cell populations. generalized right invertible operators. (English summary) 2003h:47019 2003k:45010 Raﬀoul, Youssef N. Uniform asymptotic stability in linear Volterra systems with nonlinear Kha˘, M. V. see Stankevich, V. Z. ı perturbation. (English summary) 2003e:34141 Lachowicz, Mirosław (with Wrzosek, Dariusz) Nonlocal bilinear equations. Equilibrium Reynolds, David W. see Appleby, John A. D., 2003d:34159 solutions and diﬀusive limit. (English summary) 2003b:45007 Riganti, R. (with Salvarani, Francesco) On a transport problem in a time-dependent Li, Jian Quan2 see Chen, Ren Zhao et al., 2003a:45007 domain. (English summary) (see 2003h:00015) Lorenzi, Alfredo see Janno, J., 2003d:45020 Rynne, Bryan P. see Carstensen, Carsten, 2003c:65145 Luca, Rodica An existence result for a nonlinear Volterra integrodiﬀerential system. Safonov, V. F. see Bobodzhanov, A. A., 2003j:34149 (English and Romanian summaries) 2003i:45011 Saleem, Mohammad1 (with Tripathi, A. K.) Asymptotic stability of linear and nonlinear Nikitin, Andre˘ G. Contrast structures in integro-diﬀerential equations. (see 2003j:37003) ı model systems representing age-structured predator-prey interactions. (English Novick-Cohen, Amy A phase ﬁeld system with memory: global existence. (English summary) 2003d:92037 summary) 2003i:45012 Salvarani, Francesco see Riganti, R., (2003h:00015) Sarsenba˘, A. S. (with Sartabanov, Zh. A.; Berzhanov, A. B.) A multiperiodic solution of ı ˆ Sathananthan, S. Convergence and stability analysis of Ito-type stochastic integro- a nonlinear integrodiﬀerential equation of transfer type. (Russian. English, Russian and diﬀerential systems. II. Large scale system approach and connective stability. (English Kazakh summaries) summary) 2003j:60078 Sartabanov, Zh. A. see Sarsenba˘, A. S. et al. ı Schatzman, Michelle see Bastien, J´ rˆ me et al., 2003c:74012 eo ı Stankevich, V. Z. (with Kha˘, M. V.) On the solution of some two-dimensional hypersingu- Seilova, R. D. see Akhmetov, M. U. et al., 2003h:49007 lar integral equations by integration. (Ukrainian. English, Russian and Ukrainian sum- Shawagfeh, Nabil T. see Odibat, Zaid, 2003i:30060 maries) Tait, Robert J. see Zhang, Tie et al., 2003h:65184 Tabata, Minoru (with Eshima, Nobuoki) The Cauchy problem for the nonlinear Takeuchi, Yasuhiro see Ma, Wanbiao et al., 2003g:92038 integro-partial diﬀerential equation in quantitative sociodynamics. (English summary) Tan, Man-chun (with Yang, En Hao) Asymptotic behavior of solutions to some integro- 2003f:45011 diﬀerential equations of arbitrary order. (English summary) 2003j:34147 Tang, San-yi see Xiao, Yan Ni et al., 2003m:45016 Tanabe, Hiroki see Favini, Angelo et al., 2003j:45014 and 2003k:34147 Wrzosek, Dariusz see Lachowicz, Mirosław, 2003b:45007 Tatar, N.-e. see Mazouzi, S., 2003d:34172 Xiao, Yan Ni (with Chen, Lan Sun; Tang, San-yi) Permanence and periodic solution in an Tian, Zhiping see Zhang, Hong Qian et al. integrodiﬀerential system with discrete diﬀusion. (English summary) 2003m:45016 Tripathi, A. K. see Saleem, Mohammad1, 2003d:92037 Yanagiya, Akira A Kneser-type theorem for functional integral equations. (Japanese. Vanualailai, Jito Some stability and boundedness criteria for a class of Volterra integro- Japanese summary) diﬀerential systems. (English summary) 2003d:34103 Zawistowski, Zygmunt Jacek Symmetries of integro-diﬀerential equations. (English (with Nakagiri, Shin-Ichi) Some stability criteria for a class of Volterra integro- summary) 2003h:45011 diﬀerential systems. (English summary) Zhang, Dan Song see Chen, Ren Zhao et al., 2003a:45007 Vel´ zquez Codina, Jos´ R. Qualitative behavior of the solutions of a Volterra integrodiﬀer- a e ential system. (Spanish. English and Spanish summaries) 2003i:45003 Items with secondary classiﬁcations in 45K05 V¯gak, V. M. Construction of a solution of an integrodiﬀerential continuity equation ı Akesbi, S. (with Maitre, Emmanuel) Theoretical and numerical analysis of a minimal for a two-dimensional non-axisymmetric problem of thermoelasticity for a cylinder. residual solver for 2D Boltzmann transport equation. (English summary) 2003k:65172 (Ukrainian. English, Russian and Ukrainian summaries) Akhmetov, Denis R. (with Lavrent ev, M. M., Jr.; Spigler, Renato) Existence and Wei, Zhong Li (with Jin, Ming Zhong2 ) A note on periodic boundary value problems for uniqueness of classical solutions to certain nonlinear integro-diﬀerential Fokker-Planck second order impulsive integrodiﬀerential equations in Banach spaces. (Chinese. English type equations. (English summary) 2003a:82056 and Chinese summaries) 2003f:34151 see also Lavrent ev, M. M., Jr. et al., 2003d:35133 Weng, Pei-Xuan Globally asymptotic behaviors of solutions for an integro-diﬀerential Anikonov, D. S. (with Konovalova, D. S.) The kinetic transport equation for the case of equation with inﬁnite delay. (English summary) 2003a:34125 Compton scattering. (Russian. Russian summary) 2003i:82079 Global attractivity of periodic solution in a model of hematopoiesis. (English summary) (with Prokhorov, I. V.) Necessary and suﬃcient conditions for the uniqueness of the 2003g:45005 solution of a problem in tomography. (Russian. Russian summary) 2003j:44006 Xie, Sheng Li Existence of solutions for two-point boundary value problems of second- Asanova, A. T. On the unique solvability of a two-point boundary value problem for order impulsive integro-diﬀerential equations of mixed type. (Chinese. English and a system of integrodiﬀerential equations. (Russian. English, Russian and Kazakh Chinese summaries) 2003d:34132 summaries) 2003i:35264 Xue, Ya-kui (with Zheng, Yong-hong) Nonoscillation and asymptotic behavior of Asllanaj, F. (with Jeandel, G.; Roche, Jean Rodolphe; Schmitt, Didier) Analysis of solutions of delay integro-diﬀerential systems under impulsives perturbations. (English radiative transfer equation coupled with nonlinear heat conduction equation. (English and Chinese summaries) 2003m:34164 summary) 2003i:85003 Yang, En Hao see Tan, Man-chun, 2003j:34147 Asselah, Amine (with Nussbaum, Roger D.) Existence, uniqueness and analyticity Zafer, A. see Akhmetov, M. U. et al., 2003h:49007 for periodic solutions of a non-linear convolution equation. (English summary) 45K05 INTEGRAL EQUATIONS 2003 1180 2003b:45004 see also B´ nilan, Philippe, 2003c:35060 e Bal, Guillaume (with Maday, Yvon) Coupling of transport and diﬀusion models in linear Karlsen, Kenneth Hvistendahl see Benth, Fred Espen et al., 2003a:91052 transport theory. (English summary) 2003e:82065 Kaßmann, Moritz ¨ Harnack-Ungleichungen fur nichtlokale Diﬀerentialoperatoren und Banasiak, Jacek (with Barletti, Luigi) On the existence of propagators in stationary Dirichlet-Formen. (German) [Harnack inequalities for nonlocal diﬀerential operators Wigner equation without velocity cut-oﬀ. (English summary) 2003a:82047 and Dirichlet forms] 2003m:31011 On a non-uniqueness in fragmentation models. (English summary) 2003a:47085 Khe, A. K. Solvability of the Cauchy problem for an integrodiﬀerential equation. (Russian) Barletti, Luigi see Banasiak, Jacek, 2003a:82047 Kiguradze, Z. see Dzhangveladze, T. A., 2003c:35065 Belleni-Morante, A. (with Roach, G. F.) Gamma ray transport in the cardiac region: an K¯t, G. S. (with Martinyak, R. M.) Three-dimensional contact problems for an elastic half- ı inverse problem. (English summary) 2003d:92017 space and a rigid base with surface recesses. (Ukrainian. English, Russian and Ukrainian B´ nilan, Philippe (with Kamynin, V. L.) A priori estimates for and the asymptotic behavior e summaries) of solutions of semilinear integrodiﬀerential parabolic equations on a plane. (Russian. Koller, W. see Groppi, Maria, 2003m:82079 English and Russian summaries) 2003c:35060 Konovalova, D. S. see Anikonov, D. S., 2003i:82079 Benth, Fred Espen (with Karlsen, Kenneth Hvistendahl; Reikvam, Kristin) Optimal Kovalev, V. F. see Ibragimov, Nail et al., 2003e:35011 portfolio selection with consumption and nonlinear integro-diﬀerential equations with Lachowicz, Mirosław From microscopic to macroscopic description for generalized kinetic gradient constraint: a viscosity solution approach. (English summary) 2003a:91052 models. (English summary) 2003g:82083 Biswas, Anjan Integro-diﬀerential perturbation of non-Kerr law solitons. (English Latrach, Khalid On an averaging result for transport equations. (English and French summary) 2003e:35281 summaries) 2003d:82105 Carpio, A. (with Cebri´ n de Barrio, Elena; Mustieles Moreno, Francisco-Jos´ ) Long a e Compactness results for transport equations and applications. (English summary) time asymptotics for the semiconductor Vlasov-Poisson-Boltzmann equations. (English 2003k:82095 summary) 2003e:35036 (with Zeghal, Ahmed) Existence results for a boundary value problem arising in growing Cavalcanti, Marcelo M. (with Domingos Cavalcanti, Val´ ria N.; Soriano, Juan A.) e cell populations. (English summary) 2003m:34154 Exponential decay for the solution of semilinear viscoelastic wave equations with see also Chabi, Mohamed, 2003j:82071 localized damping. (English summary) 2003c:35116 e Laurencot, Philippe (with Mischler, St´ phane) The continuous coagulation-fragmentation ¸ Cebri´ n de Barrio, Elena see Carpio, A. et al., 2003e:35036 a equations with diﬀusion. (English summary) 2003f:35166 Chabi, Mohamed (with Latrach, Khalid) On singular mono-energetic transport equations (with Wrzosek, Dariusz) From the nonlocal to the local discrete diﬀusive coagulation in slab geometry. (English summary) 2003j:82071 equations. (English summary) 2003h:35131 Colombo, Fabrizio (with Guidetti, Davide; Lorenzi, Alfredo) Elliptic equations in non- Lavrent ev, M. M., Jr. (with Spigler, Renato; Akhmetov, Denis R.) Nonlinear integro- smooth plane domains with an application to a parabolic problem. (English summary) parabolic equations in unbounded domains. The existence of classical solutions with 2003h:35054 special properties. (Russian. Russian summary) 2003d:35133 An inverse problem for a generalized Kermack-McKendrick model. (English summary) see also Akhmetov, Denis R. et al., 2003a:82056 2003g:92035 Lederman, Claudia (with Roquejoﬀre, Jean-Michel; Wolanski, Noemi) Mathematical (with Guidetti, Davide) A uniﬁed approach to nonlinear integro-diﬀerential inverse justiﬁcation of a nonlinear integro-diﬀerential equation for the propagation of spherical problems of parabolic type. (English summary) 2003g:35222 ﬂames. (English and French summaries) 2003c:80004 Cui, Xia ADFE method with high accuracy for nonlinear parabolic integro-diﬀerential Li, Xue-Zhi (with Gupur, Geni; Tang, Chun Lei; Zhu, Guang Tian) The algebraic system with nonlinear boundary conditions. (English summary) 2003k:65173 multiplicity of the complex eigenvalues of population operator and its application. Denisov, A. M. An inverse problem for a quasilinear integro-diﬀerential equation. (Russian. (English summary) 2003d:47069 Russian summary) 2003j:35320 Lorenzi, Alfredo Some identiﬁcation problems related to thermal materials with loss of Dinariev, O. Yu. On the structure of a perturbation front for transport processes with a memory. 2003k:35245 space-time nonlocality. (Russian. Russian summary) 2003a:35106 see also Colombo, Fabrizio et al., 2003h:35054 On dissipative eﬀects in the interaction of Hamiltonian systems. (Russian. Russian Maday, Yvon see Bal, Guillaume, 2003e:82065 summary) 2003k:37100 Maitre, Emmanuel see Akesbi, S., 2003k:65172 Dokuchaev, Nikolai G. Solvability of Kolmogorov-Fokker-Planck equations for vector Makroglou, A. Integral equations and actuarial risk management: some models and jump processes and occupation time on hypersurfaces. (English summary) 2003g:60134 numerics. (English and Lithuanian summaries) 2,p Domingos Cavalcanti, Val´ ria N. see Cavalcanti, Marcelo M. et al., 2003c:35116 e Marchi, Silvana W 2,p and Wloc regularity for degenerate elliptic equations. (English Domoshnitsky, Alexander (with Goltser, Ya. M.) Constructive approach to phase summary) 2003b:35085 transition model. (English summary) 2003h:35108 Martinyak, R. M. see K¯t, G. S. ı Dzhangveladze, T. A. (with Kiguradze, Z.) On the asymptotic behavior of solution for one Masmoudi, Nader Some recent developments on the hydrodynamic limit of the Boltzmann system of nonlinear integro-diﬀerential equations. equation. (English summary) 2003j:35038 (with Kiguradze, Z.) Estimates of a stabilization rate as t → ∞ of solutions of a Menaldi, Jose Luis see Garroni, Maria Giovanna, 2003i:35002 nonlinear integro-diﬀerential equation. (English summary) 2003c:35065 Mischler, St´ phane see Laurencot, Philippe, 2003f:35166 e ¸ El-Borai, Mahmoud M. Some probability densities and fundamental solutions of fractional Miˇkinis, Paulius Some properties of fractional Burgers equation. (English and Lithuanian s evolution equations. (English summary) 2003c:34095 summaries) 2003e:35271 Emamirad, Hassan (with Heshmati, G. S.) Spherical harmonic hypergroup in an inverse Mustieles Moreno, Francisco-Jos´ see Carpio, A. et al., 2003e:35036 e problem in transport theory. (English summary) 2003g:82088 Naso, Maria Grazia (with Vuk, Elena) On the exponential stability of electromagnetic Eremin, Yu. A. (with Ivakhnenko, V. I.) Analysis of inhomogeneities on wafers by the systems with memory. (English summary) 2003a:78003 integral transform method. (Russian. Russian summary) 2003h:78013 ı Nef¨ dov, N. N. (with Nikitin, Andre˘ G.) Asymptotic stability of step-type contrast e Eshima, Nobuoki see Tabata, Minoru, 2003a:35026 structures in singularly perturbed integrodiﬀerential equations in the two-dimensional Galazyuk, V. A. (with Sulim, G. T.) On a class of fundamental solutions of a static case. (Russian. English and Russian summaries) 2003b:35064 problem in the theory of elasticity in cylindrical coordinates. (Ukrainian. English, Nikitin, Andre˘ G. see Nef¨ dov, N. N., 2003b:35064 ı e Russian and Ukrainian summaries) Nussbaum, Roger D. see Asselah, Amine, 2003b:45004 Garroni, Maria Giovanna (with Menaldi, Jose Luis) Second order elliptic integro- N’zi, Modeste (with Ouknine, Youssef) Probabilistic interpretation for integral-partial diﬀerential problems. (English summary) 2003i:35002 diﬀerential equations with subdiﬀerential operator. (English summary) 2003k:60164 Geigant, Edith Nichtlineare Integro-Diﬀerential-Gleichungen zur Modellierung inter- Ouknine, Youssef see N’zi, Modeste, 2003k:60164 aktiver Musterbildungsprozesse auf S 1 . (German) [Nonlinear integro-diﬀerential equa- Pata, Vittorino (with Zucchi, Adele) Attractors for a damped hyperbolic equation with tions for the modelling of interactive pattern formation processes on S 1 ] 2003j:35313 linear memory. (English summary) 2003f:35027 Gentili, Giorgio A history-diﬀerential model for ferromagnetic hysteresis. (English Prokhorov, I. V. Determination of the boundary surface between media from X-ray summary) 2003h:78009 tomography data. (Russian. Russian summary) 2003j:65133 Goltser, Ya. M. see Domoshnitsky, Alexander, 2003h:35108 see also Anikonov, D. S., 2003j:44006 Groppi, Maria (with Koller, W.) Kinetic calculations for chemical reactions and inelastic Pustovalov, V. V. see Ibragimov, Nail et al., 2003e:35011 transitions in a gas mixture. (English summary) 2003m:82079 Reikvam, Kristin see Benth, Fred Espen et al., 2003a:91052 Guidetti, Davide see Colombo, Fabrizio et al., 2003g:35222 and 2003h:35054 Roach, G. F. see Belleni-Morante, A., 2003d:92017 Guo, Bo Ling see Shang, Ya Dong, 2003b:35208 Roche, Jean Rodolphe see Asllanaj, F. et al., 2003i:85003 Guo, Wei Hua Qualitative analysis of solution to a cold redundant repairable system with Roquejoﬀre, Jean-Michel see Lederman, Claudia et al., 2003c:80004 two identical components. (Chinese. English and Chinese summaries) 2003k:62271 Schmitt, Didier see Asllanaj, F. et al., 2003i:85003 Guo, Yan The Vlasov-Poisson-Boltzmann system near Maxwellians. (English summary) Shang, Ya Dong (with Guo, Bo Ling) Initial-boundary value problems and initial value 2003b:82050 problems for nonlinear pseudoparabolic integro-diﬀerential equations. (Chinese. English Gupur, Geni see Li, Xue-Zhi et al., 2003d:47069 and Chinese summaries) 2003b:35208 Heshmati, G. S. see Emamirad, Hassan, 2003g:82088 Skakauskas, Vladas A population dynamics model with parental care. (English and Ibragimov, Nail (with Kovalev, V. F.; Pustovalov, V. V.) Symmetries of integro-diﬀerential Lithuanian summaries) 2003h:92026 equations: a survey of methods illustrated by the Benny equations. (English summary) Soriano, Juan A. see Cavalcanti, Marcelo M. et al., 2003c:35116 [Symmetries of integro-diﬀerential equations: a survey of methods illustrated by the Spigler, Renato see Akhmetov, Denis R. et al., 2003a:82056 and Lavrent ev, M. M., Jr. et al., Benney equations.] 2003e:35011 2003d:35133 Ivakhnenko, V. I. see Eremin, Yu. A., 2003h:78013 Stefanelli, Ulisse Well-posedness and time discretization of a nonlinear Volterra integrodif- Izs´ k, Ferenc An existence theorem for Volterra integrodiﬀerential equations with inﬁnite a ferential equation. (English summary) 2003a:65075 delay. (English summary) 2003k:45009 Sulim, G. T. see Galazyuk, V. A. Jeandel, G. see Asllanaj, F. et al., 2003i:85003 Tabata, Minoru (with Eshima, Nobuoki) Blowing-up solutions to the Cauchy problem for Jiang, Zheng Lu A proof of the existence of global solutions for the relativistic Boltzmann the master equation. (English summary) 2003a:35026 equation with hard interactions. (Chinese. English and Chinese summaries) 2003d:82097 Tang, Chun Lei see Li, Xue-Zhi et al., 2003d:47069 Kamynin, V. L. Passage to the limit in quasilinear parabolic integro-diﬀerential equations Tsapovs ka, Zh. Ya. Solution of a parabolic conjugation problem in a noncylindrical on a plane. 2003j:35152 domain by the potential method. (Ukrainian. English, Russian and Ukrainian 1181 2003 45L Theoretical approximation of solutions 45L05 summaries) Gabdulkhaev, B. G. Solution of operator and integral equations by the Bogolyubov-Krylov Uchiyama, Kˆ hei Behavior of solutions to the initial-value problem for a class of integro- o method. (Russian) 2003k:65174 diﬀerential equations. 2003i:35267 Galimyanov, A. F. On direct methods for solving integral equations with logarithmically Vuk, Elena see Naso, Maria Grazia, 2003a:78003 weakened Cauchy kernels on open curves. (Russian) 2003h:45003 Walker, Christoph Coalescence and breakage processes. (English summary) 2003i:82062 Gnaneshwar, N. see Kulkarni, Rekha P., 2003e:65203 Wolanski, Noemi see Lederman, Claudia et al., 2003c:80004 Hacia, Lechosław Methods for the approximate solution of certain types of integral Wrzosek, Dariusz see Laurencot, Philippe, 2003h:35131 ¸ equations and inequalities and their applications. (Polish. English and Polish summaries) Zeghal, Ahmed see Latrach, Khalid, 2003m:34154 2003i:65135 Zhu, Guang Tian see Li, Xue-Zhi et al., 2003d:47069 Hern´ ndez Ver´ n, Miguel A. see Ezquerro, Jos´ A., 2003f:65087 a o e Zucchi, Adele see Pata, Vittorino, 2003f:35027 H¨ rlimann, Martin D. see Venkataramanan, Lalitha et al., 2003i:65141 u Ismail, A. S. see Abdou, Mohamed A. et al., 2003e:45006 ¨ Junghanns, Peter (with Muller, Katja; Rost, Karla) On collocation methods for nonlinear 45L05 Theoretical approximation of solutions {For Cauchy singular integral equations. (English summary) 2003h:65181 (with Rathsfeld, Andreas) On polynomial collocation for Cauchy singular integral numerical analysis, see 65Rxx.} equations with ﬁxed singularities. (English summary) 2003c:65148 Aliev, N. A. (with Hosseini, S. Mohammad) A regularization of Fredholm type singular Kanakaraj, M. see Balachandran, Krishnan et al., 2003i:45008 integral equations. (English summary) 2003e:45015 Karunanidhi, S. see Balachandran, Krishnan et al., 2003i:45008 Aliev, Raﬁk A. (with Musaev, B. I.) A new constructive method of solving of singular Khuri, S. A. On the solution of coupled H -like equations of Chandrasekhar. (English integral equations. (English and Azerbaijani summaries) summary) 2003g:85003 Babolian, E. see Biazar, J. et al., 2003k:45011 Kiguradze, Z. Finite diﬀerence scheme for a nonlinear integro-diﬀerential system. (English Biazar, J. (with Babolian, E.; Islam, Raﬁqul M.) Solution of a system of Volterra integral summary) 2003h:65182 equations of the ﬁrst kind by Adomian method. (English summary) 2003k:45011 Kulkarni, Rekha P. (with Gnaneshwar, N.) Spectral approximation using iterated discrete ElSheikh, M. G. see Gavdzinski˘, V. N. et al., 2003f:45012 ı Galerkin method. (English summary) 2003e:65203 Fang, Gen Sun see Ma, Wan, 2003m:45017 Kythe, Prem K. (with Puri, Pratap) Computational methods for linear integral Gavdzinski˘, V. N. (with ElSheikh, M. G.; Maltseva, E. V.) On the justiﬁcation of ı equations. (English summary) 2003e:65242 approximate unbounded solutions of mixed plane boundary value problems. (English Ma, Wan (with Wang, Xing Hua1) Optimization of approximate solution of integral summary) 2003f:45012 equations of several variables. (English summary) 2003i:65140 Hendi, F. A. see Sharaf, M. A., 2003c:45004 Mahmoudi, Y. see Maleknejad, K. et al., 2003k:65175 Hosseini, S. Mohammad see Aliev, N. A., 2003e:45015 Maleknejad, K. (with Tavassoli Kajani, M.; Mahmoudi, Y.) Numerical solution of linear Islam, Raﬁqul M. see Biazar, J. et al., 2003k:45011 Fredholm and Volterra integral equation of the second kind by using Legendre wavelets. Ivanov, V. M. (with Kul chitski˘, O. Yu.; Korenevski˘, M. L.) A combined method for ı ı (English and Persian summaries) 2003k:65175 solving integral equations. (Russian. English and Russian summaries) 2003a:45008 Mastroianni, Giuseppe (with Monegato, G.) Numerical solution of Mellin type equations Korenevski˘, M. L. see Ivanov, V. M. et al., 2003a:45008 ı via Wiener-Hopf equations. (English summary) 2003i:65133 Kul chitski˘, O. Yu. see Ivanov, V. M. et al., 2003a:45008 ı Mechenov, A. S. Variational problems for the construction of pseudosolutions of linear Ma, Wan (with Fang, Gen Sun) The ε-complexity of the approximate solution of integral integral equations. (English summary) 2003e:65243 equations with isotropic kernels. (English summary) 2003m:45017 Micchelli, Charles A. see Chen, Zhongying et al., 2003f:65206 (with Wang, Xing Hua1) The ε-complexity of integral equations. (Chinese. English and Micl˘ us, Anca The Newton method for integral equations of Hammerstein type. (English a ¸ Chinese summaries) 2003k:45012 summary) 2003m:65238 Maltseva, E. V. see Gavdzinski˘, V. N. et al., 2003f:45012 ı Mihaila, Bogdan (with Shaw, Ruth E.) Parallel algorithm with spectral convergence for Musaev, B. I. see Aliev, Raﬁk A. nonlinear integro-diﬀerential equations. (English summary) 2003g:65093 Rashed, M. T. An expansion method to treat integral equations. (English summary) Mohamed, Khamis I. see Abdou, Mohamed A. et al., 2003e:45006 2003h:45012 Monegato, G. see Mastroianni, Giuseppe, 2003i:65133 Sharaf, M. A. (with Hendi, F. A.) Power series solutions of linear integral equations of the Moore, Chika The solution by iteration of nonlinear equations of Hammerstein type. second kind using Jacobi polynomials expansion for their kernels. (English and Arabic 2003g:47111 summaries) 2003c:45004 M¨ ller, Katja see Junghanns, Peter et al., 2003h:65181 u Wang, Xing Hua1 see Ma, Wan, 2003k:45012 Ngarhasta, N. (with Some, B.) Quelques nouvelles formes canoniques de la m´ thode e e ´ e e e e d´ compositionnelle applicables aux equations int´ grales de pr´ mi` re esp` ce. (French Items with secondary classiﬁcations in 45L05 summary) [Some new canonical forms of the decomposition method applied to integral Abdou, Mohamed A. (with Mohamed, Khamis I.; Ismail, A. S.) Krein’s method for equations of the ﬁrst kind] 2003g:65162 solving the singular integral equation of the ﬁrst kind. (English and Arabic summaries) Pedas, Arvet On the solution of weakly singular integral equations by the subdomain 2003e:45006 method. (Russian) (see 2003b:00025) Abou El-seoud, A. A. M. (with El-Kady, M. M.; El-Ameen, M. A.) On approximate Pereverzev, Sergei V. (with Schock, Eberhard) The ﬁnite-section approximation for ill- solution of Hammerstein integral equations in the space Lp (p ≥ 1). (English summary) posed integral equations on the half-line. (English summary) 2003m:65242 2003m:65233 Prakash, Periasamy see Balachandran, Krishnan et al., 2003i:45008 Aliabadi, M. Hosseini (with Shahmorad, S.) A matrix formulation of the tau method Puri, Pratap see Kythe, Prem K., 2003e:65242 for Fredholm and Volterra linear integro-diﬀerential equations. (English summary) ¨ Racu, Vladimir On convergence in Holder spaces of splin-collocation and splin cuadratures 2003e:65240 methods for solving weakly-singular integral equations of second order. [On convergence Amer, S. M. An approximate solution for the one-dimensional singular integral equations. ¨ in Holder spaces of spline-collocation and spline quadrature methods for solving weakly- (English and Arabic summaries) singular integral equations of second order] Ayad, Ahmet The numerical solution of ﬁrst order delay integro-diﬀerential equations by Rakhimov, I. K. Projection methods for solving the singular integral Theodorsen equation. spline functions. (English summary) 2003b:65137 (Russian) 2003k:45004 Babolian, E. (with Biazar, J.) Solution of a system of linear Volterra equations by Rathsfeld, Andreas see Junghanns, Peter, 2003c:65148 Adomian decomposition method. (English summary) 2003f:65204 Rost, Karla see Junghanns, Peter et al., 2003h:65181 Balachandran, Krishnan (with Prakash, Periasamy; Karunanidhi, S.; Kanakaraj, M.) Rynne, Bryan P. see Carstensen, Carsten, 2003c:65145 and Davies, Penny J. et al., Existence of solutions of fuzzy integrodiﬀerential equations. (English summary) 2003j:78031 2003i:45008 ` Samo˘lova, E. N. Spline approximations of the solution of a singular integro-diﬀerential ı Biazar, J. see Babolian, E., 2003f:65204 equation. (Russian) 2003e:65244 Cao, Thang Adaptive-additive multilevel methods for hypersingular integral equation. Schock, Eberhard see Pereverzev, Sergei V., 2003m:65242 (English summary) 2003m:65234 Scuderi, L. A Chebyshev polynomial collocation BIEM for mixed boundary value Carstensen, Carsten (with Rynne, Bryan P.) A posteriori error control for ﬁnite element problems on nonsmooth boundaries. (English summary) 2003m:65241 approximations of the integral equation for thin wire antennas. (English summary) Seiciuc, Vladislav On reduction method for solving nonlinear singular integral equations 2003c:65145 Chen, Zhongying (with Micchelli, Charles A.; Xu, Yuesheng) Fast collocation methods for and their system. second kind integral equations. (English summary) 2003f:65206 Shahmorad, S. see Aliabadi, M. Hosseini, 2003e:65240 Cibotaru, Tudor Approximate solution of integral equations of the third kind. (Romanian. Shaw, Ruth E. see Mihaila, Bogdan, 2003g:65093 Romanian summary) Sloan, Ian H. Qualocation. (English summary) 2003b:65127 Davies, Penny J. (with Rynne, Bryan P.; Zubik-Kowal, Barbara) The time domain integral Some, B. see Ngarhasta, N., 2003g:65162 equation for a straight thin-wire antenna with the reduced kernel is not well-posed. Song, Yi-Qiao see Venkataramanan, Lalitha et al., 2003i:65141 (English summary) 2003j:78031 Tavassoli Kajani, M. see Maleknejad, K. et al., 2003k:65175 El-Ameen, M. A. see Abou El-seoud, A. A. M. et al., 2003m:65233 ¨ Venkataramanan, Lalitha (with Song, Yi-Qiao; Hurlimann, Martin D.) Solving Fredholm El-Kady, M. M. see Abou El-seoud, A. A. M. et al., 2003m:65233 integrals of the ﬁrst kind with tensor product structure in 2 and 2.5 dimensions. (English Ermolaeva, L. B. Solution of integral equations by the subdomain method. (Russian) summary) 2003i:65141 2003i:65134 Wang, Xing Hua1 see Ma, Wan, 2003i:65140 Ezquerro, Jos´ A. (with Hern´ ndez Ver´ Miguel A.) Generalized diﬀerentiability e a on, Wazwaz, Abdul-Majid A reliable treatment for mixed Volterra-Fredholm integral equations. conditions for Newton’s method. (English summary) 2003f:65087 (English summary) 2003a:65120 Fedotov, A. I. On convergence of quadrature-diﬀerences method for linear singular integro- Weber, Uwe Weighted polynomial approximation methods for Cauchy singular integral diﬀerential equations on the interval. 2003b:65141 equations in the non-periodic case. (English summary) 2003b:65143 Gabbasov, N. S. New versions of the collocation method for a class of integrodiﬀerential Xu, Yuesheng see Chen, Zhongying et al., 2003f:65206 equations. (Russian) 2003i:65063 Zubik-Kowal, Barbara see Davies, Penny J. et al., 2003j:78031 45Mxx INTEGRAL EQUATIONS 2003 1182 45Mxx Qualitative behavior O’Regan, Donal see Meehan, Maria, 2003a:45002; 2003g:45003 and Agarwal, Ravi P., 2003d:45009 Tsamatos, Panagiotis Ch. see Karakostas, George L., 2003e:45012 45M05 Asymptotics Bobodzhanov, A. A. (with Safonov, V. F.) Regularized asymptotic solutions of singularly perturbed integral systems with diagonal degeneration of the kernel. (Russian. Russian 45M99 None of the above, but in this section summary) 2003f:45013 Items with secondary classiﬁcations in 45M99 Chistokletova, S. S. see Tsalyuk, Z. B., 2003j:45012 Safonov, V. F. see Bobodzhanov, A. A., 2003f:45013 Balachandran, Krishnan (with Prakash, Periasamy; Karunanidhi, S.; Kanakaraj, M.) Tsalyuk, Z. B. (with Chistokletova, S. S.) Asymptotic behavior of solutions of Volterra- Existence of solutions of fuzzy integrodiﬀerential equations. (English summary) Hammerstein equations. (Russian) 2003j:45012 2003i:45008 ` Eskin, L. D. On an integral equation that describes orientation phase transitions in the Items with secondary classiﬁcations in 45M05 Parsons model for a system of axisymmetric particles. (Russian) 2003m:82030 Kirk, C. M. (with Roberts, Catherine A.) A quenching problem for the heat equation. Georgiou, D. N. (with Kougias, I. E.) Bounded solutions for fuzzy integral equations. (English summary) 2003g:35129 (English summary) Logemann, Hartmut (with Ryan, Eugene P.) Systems with hysteresis in the feedback Kanakaraj, M. see Balachandran, Krishnan et al., 2003i:45008 loop: existence, regularity and asymptotic behaviour of solutions. (English summary) Karunanidhi, S. see Balachandran, Krishnan et al., 2003i:45008 2003k:45013 Kougias, I. E. see Georgiou, D. N. Malczak, Jan (with Wedrychowicz, Stanisław) On solutions of stochastic integral Pachpatte, B. G. Explicit bounds on certain integral inequalities. (English summary) equations. (English summary) 2003j:60088 2003a:26019 Roberts, Catherine A. see Kirk, C. M., 2003g:35129 Prakash, Periasamy see Balachandran, Krishnan et al., 2003i:45008 Ryan, Eugene P. see Logemann, Hartmut, 2003k:45013 Vel´ zquez Codina, Jos´ R. Qualitative behavior of the solutions of a Volterra integrodiﬀer- a e ential system. (Spanish. English and Spanish summaries) 2003i:45003 Wedrychowicz, Stanisław see Malczak, Jan, 2003j:60088 45N05 Abstract integral equations, integral equations in abstract spaces 45M10 Stability theory Cernea, Aurelian On the set of solutions of a nonconvex integral inclusion. (English Logemann, Hartmut (with Ryan, Eugene P.) Systems with hysteresis in the feedback summary) 2003d:45021 loop: existence, regularity and asymptotic behaviour of solutions. (English summary) Chai, Guo Qing Initial value problem for nth order nonlinear integrodiﬀerential equations 2003k:45013 on unbounded domains in Banach space. (Chinese. English and Chinese summaries) Ryan, Eugene P. see Logemann, Hartmut, 2003k:45013 2003c:45005 Chang, Jung-Chan (with Shaw, Sen-Yen) Multiplicative and additive perturbations of Items with secondary classiﬁcations in 45M10 resolvent families. (English summary) 2003g:45006 Gelig, A. Kh. Stability of a class of functional integral equations. (English summary) Chen, Fang Qi Existence of solutions for nonlinear impulsive Volterra integral equations in 2003i:34167 Banach spaces. (English summary) 2003c:45006 Nef¨ dov, N. N. (with Omel chenko, O. E.) Boundary-layer solutions in second-order e Darwish, Mohamed Abdalla Weakly singular functional-integral equation in inﬁnite quasilinear integro-diﬀerential equations. (Russian. Russian summary) 2003h:45008 dimensional Banach spaces. (English summary) 2003i:45013 Omel chenko, O. E. see Nef¨ dov, N. N., 2003h:45008 e Dhakne, M. B. (with Lamb, G. B.) On global existence of solutions of abstract nonlinear Raﬀoul, Youssef N. Uniform asymptotic stability in linear Volterra systems with nonlinear integrodiﬀerential equations. (English summary) 2003d:45022 perturbation. (English summary) 2003e:34141 Favini, Angelo (with Lorenzi, Alfredo; Tanabe, Hiroki) Degenerate integrodiﬀerential Sowunmi, C. O. A. Erratum: “Stability of steady state and boundedness of a 2-sex equations of Volterra type in Banach space. 2003j:45014 population model” [Nonlinear Anal. 39 (2000), no. 6, Ser. A: Theory Methods, 693–709; Guo, Fei (with Zheng, Qing Yu) The unique solution of a Volterra integral equation in MR 2001c:92017]. 2003g:92031 abstract spaces and its applications. (Chinese. English and Chinese summaries) Lamb, G. B. see Dhakne, M. B., 2003d:45022 Lorenzi, Alfredo see Favini, Angelo et al., 2003j:45014 45M15 Periodic solutions Myshkis, A. D. Generalization of the abstract analog of Volterra integral equations. Weng, Pei-Xuan Global attractivity of periodic solution in a model of hematopoiesis. (English summary) 2003d:45023 (English summary) 2003g:45005 Abstract linear integral equations of Volterra type with noncompact integration domain. (English summary) 2003m:45018 Items with secondary classiﬁcations in 45M15 O’Regan, Donal (with Precup, Radu) Existence criteria for integral equations in Banach Agarwal, Ravi P. (with O’Regan, Donal) A ﬁxed point theorem of Leggett-Williams type spaces. (English summary) 2003c:45007 with applications to single- and multivalued equations. (English summary) 2003d:47075 (with Precup, Radu) Integrable solutions of Hammerstein integral inclusions in Banach Asselah, Amine (with Nussbaum, Roger D.) Existence, uniqueness and analyticity spaces. (English summary) 2003d:45024 for periodic solutions of a non-linear convolution equation. (English summary) Precup, Radu see O’Regan, Donal, 2003c:45007 and 2003d:45024 2003b:45004 Rus, Ioan A. A class of nonlinear functional-integral equations via weakly Picard Nussbaum, Roger D. see Asselah, Amine, 2003b:45004 operators. (English summary) 2003c:45008 O’Regan, Donal see Agarwal, Ravi P., 2003d:47075 Shaw, Sen-Yen see Chang, Jung-Chan, 2003g:45006 Wang, Quan Yi Existence and uniqueness of periodic solutions to linear integro-diﬀerential Tanabe, Hiroki see Favini, Angelo et al., 2003j:45014 equations. (Chinese. English and Chinese summaries) 2003e:45014 Zhang, Hong Qian Existence of maximal and minimal solutions for nonlinear integro- diﬀerential equations of mixed type in Banach spaces. (Chinese. English and Chinese summaries) 2003d:45025 45M20 Positive solutions Zheng, Qing Yu see Guo, Fei Agarwal, Ravi P. (with Meehan, Maria; O’Regan, Donal) Positive Lp and continuous solutions for Fredholm integral inclusions. (English summary) 2003j:45013 Items with secondary classiﬁcations in 45N05 (with Grace, Said R.; O’Regan, Donal) Existence of positive solutions to semipositone Agarwal, Ravi P. (with Meehan, Maria; O’Regan, Donal) Positive Lp and continuous Fredholm integral equations. 2003k:45014 solutions for Fredholm integral inclusions. (English summary) 2003j:45013 Bucur, Amelia The existence of the solution for some integral equations. (English Balachandran, Krishnan (with Park, Jong Yeoul; Chandrasekaran, M.) Nonlocal Cauchy summary) problem for delay integrodiﬀerential equations of Sobolev type in Banach spaces. Grace, Said R. see Agarwal, Ravi P. et al., 2003k:45014 (English summary) 2003d:34162 Meehan, Maria see Agarwal, Ravi P. et al., 2003j:45013 (with Park, Jong Yeoul) Existence of solutions of a class of abstract second order O’Regan, Donal see Agarwal, Ravi P. et al., 2003j:45013 and 2003k:45014 nonlinear integrodiﬀerential equations. (English summary) 2003d:34163 Sun, Jing Xian see Zhang, Ke Mei see also Kanakaraj, M., 2003a:34130 Zhang, Ke Mei (with Sun, Jing Xian) Existence of positive solutions for a class of Benchohra, Mouﬀak (with Ntouyas, Sotiris K.) Existence of solutions for second order Hammerstein nonlinear integral equations. (Chinese. English and Chinese summaries) semilinear functional integrodiﬀerential inclusions in Banach spaces. (English summary) 2003e:34146 Items with secondary classiﬁcations in 45M20 (with Ntouyas, Sotiris K.) Existence results on noncompact intervals for functional Agarwal, Ravi P. (with O’Regan, Donal) A note on a singular integral equation arising in a diﬀerential and integro-diﬀerential inclusions in Banach spaces. (English and Georgian problem in communications. (English summary) 2003d:45009 summaries) 2003c:34094 Arias, M. R. (with Ben´tez, R.) A note on the uniqueness and attractive behavior of ı On second order integrodiﬀerential inclusions in Banach spaces. (English summary) solutions for nonlinear Volterra equations. (English summary) 2003a:45003 2003a:34129 Ben´tez, R. see Arias, M. R., 2003a:45003 ı see also Boucherif, Abdelkader, 2003d:34164 Karakostas, George L. (with Tsamatos, Panagiotis Ch.) Multiple positive solutions of Bianconi, R. see Federson, M´ rcia, 2003g:45001 a some Fredholm integral equations arisen from nonlocal boundary-value problems. Boucherif, Abdelkader (with Benchohra, Mouﬀak) Initial value problems for ﬁrst (English summary) 2003e:45012 order impulsive integro-diﬀerential inclusions in Banach spaces. (English summary) Meehan, Maria (with O’Regan, Donal) A note on positive solutions of Fredholm integral 2003d:34164 equations and related boundary value problems. (English summary) 2003a:45002 Chandrasekaran, M. see Balachandran, Krishnan et al., 2003d:34162 (with O’Regan, Donal) Positive solutions of Volterra integral equations using integral Chang, Jung-Chan On the Volterra integrodiﬀerential equations and applications. (English inequalities. (English summary) 2003g:45003 summary) 2003i:45009 1183 2003 45R Random integral equations 45R05 Chen, Fang Qi (with Chen, Yu Shu) Global solutions of systems of nonlinear impulsive Azerbaijani summaries) 2003j:47059 Volterra integral equations in Banach spaces. (Chinese. English and Chinese summaries) Andonowati see Tam, K. Kuen et al., 2003m:45011 2003c:45002 Arens, Tilo (with Chandler-Wilde, Simon N.; Haseloh, Kai O.) Solvability and spectral Chen, Yu Shu see Chen, Fang Qi, 2003c:45002 properties of integral equations on the real line. I. Weighted spaces of continuous Couchouron, Jean-Francois (with Precup, Radu) Existence principles for inclusions of ¸ functions. (English summary) 2003j:45001 Hammerstein type involving noncompact acyclic multivalued maps. (English summary) Bardaro, Carlo (with Vinti, Gianluca) Urysohn integral operators with homogeneous 2003b:47096 kernel: approximation properties in modular spaces. (English summary) 2003j:41019 Dhage, Bapur Chandra (with Ntouyas, Sotiris K.; Tsamatos, Panagiotis Ch.) A ﬁxed point Basor, Estelle L. (with Chen, Yang1) A note on Wiener-Hopf determinants and the theorem and its applications to nonlinear integral equations in Banach algebras. (English Borodin-Okounkov identity. (English summary) 2003m:47045 summary) 2003g:47097 B¨ ttcher, Albrecht (with Karlovich, Yu. I.) Cauchy’s singular integral operator and its o Federson, M´ rcia (with Bianconi, R.) Linear Fredholm integral equations and the integral a beautiful spectrum. (English summary) 2003a:47101 of Kurzweil. (English summary) 2003g:45001 Budylin, A. M. (with Buslaev, Vladimir S.) Semiclassical pseudodiﬀerential operators with Fu, Xian Long (with Zhang, Shu Nian) Existence of solutions for a functional integro- double discontinuous symbols and their application to problems of quantum statistical diﬀerential equation with unbounded delay in a Banach space. (Chinese. English and physics. 2003k:35258 Chinese summaries) 2003h:34163 Buslaev, Vladimir S. see Budylin, A. M., 2003k:35258 Gil’, Michael Iosif Stability of solutions for nonlinear nonautonomous diﬀerential-delay Butzer, Paul L. (with Kilbas, A. A.; Trujillo, Juan J.) Compositions of Hadamard- equations in Hilbert spaces. (English summary) 2003h:34164 type fractional integration operators and the semigroup property. (English summary) Solution estimates for abstract nonlinear time-variant diﬀerential-delay equations. 2003k:47073 (English summary) 2003f:34148 Chandler-Wilde, Simon N. see Arens, Tilo et al., 2003j:45001 Guo, Dajun A class of nth-order impulsive integrodiﬀerential equations in Banach spaces. Chen, Yang1 see Basor, Estelle L., 2003m:47045 (English summary) 2003k:45007 Dostani´ , Milutin Bilinear expansions of the kernels of some nonselfadjoint integral c (with Liu, Xin Zhi) A boundary value problem for ﬁrst order impulsive integro- operators. (English summary) 2003g:47083 diﬀerential equations in Banach spaces. (English summary) 2003c:34136 Gil’, Michael Iosif Invertibility and positive invertibility of Hille-Tamarkin integral A boundary value problem for nth order integro-diﬀerential equations in a Banach space. operators. (English summary) 2003c:47085 (English summary) 2003k:45008 Haseloh, Kai O. see Arens, Tilo et al., 2003j:45001 Guo, Fei see Liu, Li Shan et al., 2003j:45011 Junghanns, Peter (with Rathsfeld, Andreas) A polynomial collocation method for Cauchy Guo, Wei3 A generalization of the Ascoli-Arzela theorem and its application. (Chinese. singular integral equations over the interval. (English summary) 2003i:65137 English and Chinese summaries) 2003a:34092 Karlovich, A. Yu. Algebras of singular integral operators with PC coeﬃcients in Hong, Shi Huang Periodic boundary value problems for second order integro-diﬀerential rearrangement-invariant spaces with Muckenhoupt weights. (English summary) equations in Banach spaces. (English and Chinese summaries) 2003f:45010 2003d:47068 Solvability of nonlinear impulsive Volterra integral equations in Banach spaces. (Chinese. Karlovich, Yu. I. see B¨ ttcher, Albrecht, 2003a:47101 o English and Chinese summaries) 2003c:34133 Kiang, M. T. see Tam, K. Kuen et al., 2003m:45011 Izs´ k, Ferenc An existence theorem for Volterra integrodiﬀerential equations with inﬁnite a Kilbas, A. A. see Butzer, Paul L. et al., 2003k:47073 delay. (English summary) 2003k:45009 Kozitski˘, Yu. V. (with Oleszczuk, Piotr; Us, G.) Integral operators and dual orthogonal ı Kanakaraj, M. (with Balachandran, Krishnan) Existence of solutions of quasilinear systems on a half-line. (English summary) 2003a:60107 integrodiﬀerential equations in Banach spaces. (English summary) 2003a:34130 Li, Hong-yan (with Wang, Xiao Lin1 ) The generalized inverse of singular integral Kim, Jong Kyu see Liu, Li Shan et al., 2003j:45011 operators on an open arc and its applications. (English summary) 2003d:45008 Kim, Mihi Volterra inclusions in Banach spaces. (English summary) 2003d:45005 Lomakina, E. N. Estimates for the approximation numbers of a class of integral operators. Kubiaczyk, I. (with Majcher, P.) On some continuous and discrete equations in Banach I. (Russian. Russian summary) 2003m:47092 spaces on unbounded intervals. (English summary) 2003i:47074 z Misiak, Aleksander (with Ry˙ , Alicja) On certain nonlinear integral operators. (English Lee, Haeng Joo (with Park, Jeongyo; Park, Jong Yeoul) Existence results for second- summary) 2003f:47105 order neutral functional diﬀerential and integrodiﬀerential inclusions in Banach spaces. Muscalu, Camil (with Tao, Terence C.; Thiele, Christoph Martin) Multi-linear operators (English summary) 2003h:34166 given by singular multipliers. 2003b:42017 Liu, Li Shan (with Guo, Fei; Kim, Jong Kyu) Global solutions of initial value problems Myshkis, A. D. Abstract linear integral equations of Volterra type with noncompact for second order nonlinear integro-diﬀerential equations of mixed type in Banach spaces. integration domain. (English summary) 2003m:45018 (English summary) 2003j:45011 Nishimoto, Katsuyuki N -fractional calculus of the power and logarithmic functions, and Liu, Xin Zhi see Guo, Dajun, 2003c:34136 some identities. (English summary) 2003e:26011 Lu, Hui Qin A theorem on continuous dependence on a parameter of solutions for a class Oleszczuk, Piotr see Kozitski˘, Yu. V. et al., 2003a:60107 ı of nonlinear equations and applications. (Chinese. English and Chinese summaries) Pradolini, Gladis Two-weighted norm inequalities for the fractional integral operator 2003f:47108 p between L and Lipschitz spaces. (English summary) 2003a:42024 Majcher, P. see Kubiaczyk, I., 2003i:47074 Rathsfeld, Andreas see Junghanns, Peter, 2003i:65137 Mazouzi, S. (with Tatar, N.-e.) Global existence for some integro-diﬀerential equations Ry˙ , Alicja see Misiak, Aleksander, 2003f:47105 z with delay subject to non-local conditions. (English summary) 2003d:34172 Sciamannini, S. (with Vinti, Gianluca) Convergence and rate of approximation in BVϕ for Meehan, Maria see Agarwal, Ravi P. et al., 2003j:45013 a class of integral operators. (English summary) 2003e:42023 Musaev, V. M. On the diﬀerentiability with respect to the parameter of solutions of integral Skopin, V. A. On the equivalence of causal and ordinary invertibility for integral equations with two variable limits. (Russian. English summary) 2003k:45005 convolution operators. (Russian. Russian summary) 2003f:47083 Ntouyas, Sotiris K. see Benchohra, Mouﬀak, 2003c:34094; 2003e:34146 and Dhage, Bapur Soldatov, A. P. The algebra of singular operators with an end symbol on a piecewise- Chandra et al., 2003g:47097 smooth curve. III. Operators of normal type. (Russian. Russian summary) 2003j:47062 O’Regan, Donal see Agarwal, Ravi P. et al., 2003j:45013 Tam, K. Kuen (with Andonowati; Kiang, M. T.) Sequential eigenfunction expansion for Park, Jeongyo see Lee, Haeng Joo et al., 2003h:34166 certain nonlinear Hammerstein equations. 2003m:45011 Park, Jong Yeoul see Balachandran, Krishnan et al., 2003d:34162; 2003d:34163 and Lee, Tao, Terence C. see Muscalu, Camil et al., 2003b:42017 Haeng Joo et al., 2003h:34166 Thiele, Christoph Martin see Muscalu, Camil et al., 2003b:42017 Precup, Radu see Couchouron, Jean-Francois, 2003b:47096 ¸ Trujillo, Juan J. see Butzer, Paul L. et al., 2003k:47073 ˇ Schwabik, Stefan Operator-valued functions of bounded semivariation and convolutions. Us, G. see Kozitski˘, Yu. V. et al., 2003a:60107 ı (English summary) 2003a:46065 Vinti, Gianluca A general approximation result for nonlinear integral operators and Sˆnt˘ m˘ rian, Alina Integral inclusions of Fredholm type relative to multivalued ϕ- ı a a applications to signal processing. (English summary) 2003a:41023 contractions. (English summary) 2003i:47065 see also Sciamannini, S., 2003e:42023 and Bardaro, Carlo, 2003j:41019 Stefanelli, Ulisse On a class of doubly nonlinear nonlocal evolution equations. (English Wang, Xiao Lin1 see Li, Hong-yan, 2003d:45008 summary) 2003c:34104 Yang, Chan Woo Lp regularity of averaging operators with higher fold singularities. Tatar, N.-e. see Mazouzi, S., 2003d:34172 (English summary) 2003k:35264 Thieme, Horst R. (with Vosseler, Hauke) A Stieltjes type convolution for integrated semigroups of bounded strong variation and Lp -solutions to the abstract Cauchy problem. (English summary) 2003f:47076 Tsamatos, Panagiotis Ch. see Dhage, Bapur Chandra et al., 2003g:47097 45Q05 Inverse problems Vosseler, Hauke see Thieme, Horst R., 2003f:47076 Zhang, Shu Nian see Fu, Xian Long, 2003h:34163 Items with secondary classiﬁcations in 45Q05 Zhang, Yu Zhong2 Global solutions of initial value problems for a fourth-order nonlin- Cardot, Herv´ Spatially adaptive splines for statistical linear inverse problems. (English e ear integro-diﬀerential equation in Banach spaces. (Chinese. English and Chinese sum- summary) 2003c:62083 maries) Eremin, Yu. A. (with Ivakhnenko, V. I.) Analysis of inhomogeneities on wafers by the integral transform method. (Russian. Russian summary) 2003h:78013 Ivakhnenko, V. I. see Eremin, Yu. A., 2003h:78013 45P05 Integral operators [see also 47B38, 47G10] Lorenzi, Alfredo Some identiﬁcation problems related to thermal materials with loss of memory. 2003k:35245 Betancor, Jorge J. (with Bonilla, Antonio) On a universality property of certain integral operators. (English summary) 2003b:45008 Bonilla, Antonio see Betancor, Jorge J., 2003b:45008 Szep, Gyuszi On an integral equation with deviating argument. (English summary) 45R05 Random integral equations [see also 60H20] Items with secondary classiﬁcations in 45P05 Items with secondary classiﬁcations in 45R05 ¨ Abdullaev, S. K. On Fredholm property of matrix singular integral operators in the Holder Coutin, Laure (with Decreusefond, Laurent) Stochastic Volterra equations with singular spaces with the weight degenerated on submanifold of smaller dimension. (English and kernels. (see 2003f:60009) 45R05 INTEGRAL EQUATIONS 2003 1184 Decreusefond, Laurent see Coutin, Laure, (2003f:60009) Dhage, Bapur Chandra Monotone iterative technique for Caratheodory theory of nonlinear functional random integral equations. (English summary) 2003h:47111 Random ﬁxed point theorems in Banach algebras with applications to random integral equations. (English summary) 2003k:47086 Malczak, Jan (with Wedrychowicz, Stanisław) On solutions of stochastic integral equations. (English summary) 2003j:60088 M¯shura, Yu. S. Abstract Volterra equations with stochastic kernels. (Ukrainian. Ukrainian ı summary) 2003h:60079 Wedrychowicz, Stanisław see Malczak, Jan, 2003j:60088