Journal of Integral Equations and Applications Short Title: J. Integral Equations Appl. Publisher: Rocky Mountain Mathematics Consortium, Texas Tech University, Lubbock, TX ISSN: 0897-3962 Online: https://projecteuclid.org/all/euclid.jieahttp://rmmc.eas.asu.edu/jie/jie.html Predecessor: Journal of Integral Equations Comments: Journal; Indexed cover-to-cover Documents Indexed: 850 Publications (since 1988) References Indexed: 725 Publications with 15,129 References. all top 5 Latest Issues 36, No. 4 (2024) 36, No. 3 (2024) 36, No. 2 (2024) 36, No. 1 (2024) 35, No. 4 (2023) 35, No. 3 (2023) 35, No. 2 (2023) 35, No. 1 (2023) 34, No. 4 (2022) 34, No. 3 (2022) 34, No. 2 (2022) 34, No. 1 (2022) 33, No. 4 (2021) 33, No. 3 (2021) 33, No. 2 (2021) 33, No. 1 (2021) 32, No. 4 (2020) 32, No. 3 (2020) 32, No. 2 (2020) 32, No. 1 (2020) 31, No. 4 (2019) 31, No. 3 (2019) 31, No. 2 (2019) 31, No. 1 (2019) 30, No. 4 (2018) 30, No. 3 (2018) 30, No. 2 (2018) 30, No. 1 (2018) 29, No. 4 (2017) 29, No. 3 (2017) 29, No. 2 (2017) 29, No. 1 (2017) 28, No. 4 (2016) 28, No. 3 (2016) 28, No. 2 (2016) 28, No. 1 (2016) 27, No. 4 (2015) 27, No. 3 (2015) 27, No. 2 (2015) 27, No. 1 (2015) 26, No. 4 (2014) 26, No. 3 (2014) 26, No. 2 (2014) 26, No. 1 (2014) 25, No. 4 (2013) 25, No. 3 (2013) 25, No. 2 (2013) 25, No. 1 (2013) 24, No. 4 (2012) 24, No. 3 (2012) 24, No. 2 (2012) 24, No. 1 (2012) 23, No. 4 (2011) 23, No. 3 (2011) 23, No. 2 (2011) 23, No. 1 (2011) 22, No. 4 (2010) 22, No. 3 (2010) 22, No. 2 (2010) 22, No. 1 (2010) 21, No. 4 (2009) 21, No. 3 (2009) 21, No. 2 (2009) 21, No. 1 (2009) 20, No. 4 (2008) 20, No. 3 (2008) 20, No. 2 (2008) 20, No. 1 (2008) 19, No. 4 (2007) 19, No. 3 (2007) 19, No. 2 (2007) 19, No. 1 (2007) 18, No. 4 (2006) 18, No. 3 (2006) 18, No. 2 (2006) 18, No. 1 (2006) 17, No. 4 (2005) 17, No. 3 (2005) 17, No. 2 (2005) 17, No. 1 (2005) 16, No. 4 (2004) 16, No. 3 (2004) 16, No. 2 (2004) 16, No. 1 (2004) 15, No. 4 (2003) 15, No. 3 (2003) 15, No. 2 (2003) 15, No. 1 (2003) 14, No. 4 (2002) 14, No. 3 (2002) 14, No. 2 (2002) 14, No. 1 (2002) 13, No. 4 (2001) 13, No. 3 (2001) 13, No. 2 (2001) 13, No. 1 (2001) 12, No. 4 (2000) 12, No. 3 (2000) 12, No. 2 (2000) 12, No. 1 (2000) ...and 42 more Volumes all top 5 Authors 16 Xu, Yuesheng 12 Sloan, Ian Hugh 11 Atkinson, Kendall Eugene 10 Chandler-Wilde, Simon N. 10 O’Regan, Donal 9 Brunner, Hermann 9 Kress, Rainer 8 Chen, Zhongying 7 Desch, Wolfgang 7 Hansen, Olaf 7 Vainikko, Gennadi 6 Agarwal, Ravi P. 6 Appleby, John A. D. 6 Chapko, Roman 6 Lizama, Carlos 6 Natroshvili, David 6 Prössdorf, Siegfried 6 Prüß, Jan Wilhelm 6 Väth, Martin 5 Anderssen, Robert Scott 5 Anselone, Philip M. 5 Appell, Jürgen 5 Baker, Christopher Thomas Hale 5 Cao, Yanzhao 5 Ezzinbi, Khalil 5 Kulkarni, Rekha P. 5 McLean, William 5 Miller, Richard K. 5 Roberts, Catherine Anne 5 Tran, Thanh 5 Turi, Janos 5 Vecchio, Antonia 4 Arens, Tilo 4 Benchohra, Mouffak 4 Böttcher, Albrecht 4 Cakoni, Fioralba 4 Chang, Yong-Kui 4 Costarelli, Danilo 4 Crisci, Maria Rosaria 4 Deep, Amar 4 Domínguez, Víctor 4 Elliott, David 4 Haddar, Houssem 4 Herdman, Terry L. 4 Kirk, Colleen M. 4 Lanza de Cristoforis, Massimo 4 Liu, Zhenhai 4 Mastroianni, Giuseppe 4 Messaoudi, Salim A. 4 Mikhailov, Sergey E. 4 Mitina, Anna 4 Noren, Richard D. 4 Okrasiński, Wojciech 4 Pandey, Dwijendra Narain 4 Pani, Amiya Kumar 4 Pereverzev, Sergei V. 4 Potthast, Roland W. E. 4 Russo, Elvira 4 Saranen, Jukka 4 Sayas, Francisco-Javier 4 Silbermann, Bernd 4 Sinha, Rajen Kumar 4 Speck, Frank-Olme 4 Stephan, Ernst Peter 4 von Wolfersdorf, Lothar 4 Walter, Gilbert G. 4 Zhou, Yong 3 Abbas, Said 3 Abbas, Syed 3 Al-Salman, Ahmad 3 Alvarez, Edgardo 3 Arias, Mariano R. 3 Bu, Shangquan 3 Burton, Theodore Allen 3 Pinheiro de Castro, Luís Filipe 3 Chen, Xiangling 3 Chkadua, Otar 3 Chudinovich, Igor Yuryevich 3 Constanda, Christian 3 de Hoog, Frank Robert 3 Diethelm, Kai 3 Duncan, Dugald B. 3 Eggermont, Paul P. B. 3 Estrada, Ricardo 3 Feireisl, Eduard 3 Ford, Neville J. 3 Gal, Sorin Gheorghe 3 Ganesh, Mahadevan 3 Grigorieff, Rolf Dieter 3 Groetsch, Charles W. 3 Hannsgen, Kenneth B. 3 Hassan, Jamilu Hashim 3 Heuer, Norbert 3 Hofmann, Bernd 3 Hrusa, William J. 3 Idczak, Dariusz 3 Ivanyshyn, Olha 3 Jiang, Ying 3 Kalitvin, Anatolij S. 3 Kaneko, Hideaki ...and 956 more Authors all top 5 Fields 560 Integral equations (45-XX) 304 Numerical analysis (65-XX) 190 Partial differential equations (35-XX) 178 Operator theory (47-XX) 105 Ordinary differential equations (34-XX) 53 Mechanics of deformable solids (74-XX) 47 Real functions (26-XX) 31 Optics, electromagnetic theory (78-XX) 26 Fluid mechanics (76-XX) 25 Probability theory and stochastic processes (60-XX) 24 Systems theory; control (93-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 21 Potential theory (31-XX) 18 Functions of a complex variable (30-XX) 18 Integral transforms, operational calculus (44-XX) 18 Functional analysis (46-XX) 17 Biology and other natural sciences (92-XX) 15 Approximations and expansions (41-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Information and communication theory, circuits (94-XX) 8 Special functions (33-XX) 8 Abstract harmonic analysis (43-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Measure and integration (28-XX) 6 History and biography (01-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 663 Publications have been cited 5,433 times in 4,304 Documents Cited by ▼ Year ▼ On integral equations of the first kind with logarithmic kernels. Zbl 0682.45001 Yan, Y.; Sloan, I. H. 102 1988 A survey of numerical methods for solving nonlinear integral equations. Zbl 0760.65118 Atkinson, Kendall E. 99 1992 Existence of mild solutions for fractional evolution equations. Zbl 1304.34013 Zhou, Yong; Zhang, Lu; Shen, Xiao Hui 97 2013 Numerical solution via Laplace transforms of a fractional order evolution equation. Zbl 1195.65122 McLean, William; Thomée, Vidar 71 2010 Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces. Zbl 1308.41017 Costarelli, Danilo; Vinti, Gianluca 55 2014 Characterization of boundary values of functions in Hardy spaces with applications in signal analysis. Zbl 1086.30035 Qian, Tao 54 2005 Numerical methods for hyperbolic and parabolic integro-differential equations. Zbl 0764.65086 Pani, A. K.; Thomée, V.; Wahlbin, L. B. 54 1992 Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 52 2009 Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density. Zbl 1094.31001 Lanza de Cristoforis, Massimo; Rossi, Lucia 47 2004 Order of approximation for sampling Kantorovich operators. Zbl 1308.41016 Costarelli, Danilo; Vinti, Gianluca 45 2014 The discrete multi-projection method for Fredholm integral equations of the second kind. Zbl 1138.65109 Chen, Zhongying; Long, Guangqing; Nelakanti, Gnaneshwar 43 2007 Pseudospectra and singular values of large convolution operators. Zbl 0819.45002 Böttcher, Albrecht 42 1994 Traveling waves for a nonlocal dispersal SIR model with standard incidence. Zbl 1295.35170 Li, Wan-Tong; Yang, Fei-Ying 42 2014 Numerical solutions for weakly singular Hammerstein equations and their superconvergence. Zbl 0764.65085 Kaneko, Hideaki; Noren, Richard D.; Xu, Yuesheng 41 1992 Averaging in infinite dimensions. Zbl 0755.45012 Hale, Jack K.; Verduyn Lunel, Sjoerd M. 41 1990 \(L^p\)-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016 Coroianu, Lucian; Gal, Sorin G. 38 2017 Generation of nonlocal fractional dynamical systems by fractional differential equations. Zbl 1385.34009 Cong, N. D.; Tuan, H. T. 38 2017 Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011 Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K. 37 2002 Condition number estimates for combined potential boundary integral operators in acoustic scattering. Zbl 1167.35030 Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Lindner, Marko 34 2009 The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056 Atkinson, Kendall; Potra, Florian 34 1988 Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101 Chapko, Roman; Kress, Rainer 33 1997 Volterra equations which model explosion in a diffusive medium. Zbl 0804.45002 Roberts, Catherine A.; Lasseigne, D. Glenn; Olmstead, W. E. 33 1993 Perturbation of linear abstract Volterra equations. Zbl 0824.45013 Corduneanu, C. 32 1990 Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003 Ivanyshyn, Olha; Kress, Rainer 32 2006 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003 Diethelm, Kai; Ford, Neville J. 32 2012 Three-point boundary value problems with solutions that change sign. Zbl 1055.34023 Infante, G.; Webb, J. R. L. 31 2003 On integral equations arising in the first-passage problem for Brownian motion. Zbl 1044.60076 Peskir, Goran 31 2002 A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions. Zbl 1288.65185 Costarelli, Danilo; Spigler, Renato 31 2014 Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach. Zbl 0858.45008 Crisci, M. R.; Kolmanovskij, V. B.; Russo, E.; Vecchio, A. 30 1995 Solving Volterra integral equations of the second kind by sigmoidal functions approximation. Zbl 1285.65086 Costarelli, Danilo; Spigler, Renato 30 2013 Exact solution of a simple hypersingular integral equation. Zbl 0756.45003 Martin, P. A. 30 1992 A real analyticity result for a nonlinear integral operator. Zbl 1278.47057 Lanza de Cristoforis, Massimo; Musolino, Paolo 30 2013 Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces. Zbl 1044.45004 Karlovich, Alexei Yu. 28 2003 The Bedrosian identity and homogeneous semi-convolution equations. Zbl 1160.44004 Yu, Bo; Zhang, Haizhang 28 2008 Existence results for neutral integro-differential equations with unbounded delay. Zbl 1228.45019 Dos Santos, José Paulo C.; Henríquez, Hernán; Hernández, Eduardo 28 2011 Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels. Zbl 0820.45003 Han, Weimin 27 1994 Existence, uniqueness and regularity of solutions to a class of third-kind Volterra integral equations. Zbl 1329.45001 Allaei, Sonia Seyed; Yang, Zhan-Wen; Brunner, Hermann 27 2015 A Kac-Feynman integral equation for conditional Wiener integrals. Zbl 0751.45003 Park, Chull; Skoug, David 27 1991 The linear sampling method revisited. Zbl 1237.65118 Arens, Tilo; Lechleiter, Armin 27 2009 General decay for a laminated beam with structural damping and memory: the case of non-equal wave speeds. Zbl 1407.35132 Li, Gang; Kong, Xiangyu; Liu, Wenjun 27 2018 On wave equations with boundary dissipation of memory type. Zbl 0858.35075 Propst, Georg; Prüss, Jan 26 1996 An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems. Zbl 1206.47060 Boţ, Radu Ioan; Hofmann, Bernd 26 2010 Singularity preserving Galerkin methods for weakly singular Fredholm integral equations. Zbl 0819.65139 Cao, Yanzhao; Xu, Yuesheng 25 1994 A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces. Zbl 1170.78365 Meier, A.; Arens, T.; Chandler-Wilde, S. N.; Kirsch, A. 25 2000 The modified quadrature method for logarithmic-kernel integral equations on closed curves. Zbl 0747.65100 Saranen, Jukka 25 1991 An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092 Hochstenbach, Michiel E.; Reichel, Lothar 25 2010 Exponential stabilization of Volterra integral equations with singular kernels. Zbl 0673.45008 Desch, Wolfgang; Miller, Richard K. 25 1988 A nonlocal model for the exchange energy in ferromagnetic materials. Zbl 0762.45004 Rogers, Robert C. 24 1991 Integrable solutions of a functional-integral equation. Zbl 0755.45005 Emmanuele, Giovanni 24 1992 A discrete Galerkin method for first kind integral equations with a logarithmic kernel. Zbl 0676.65140 Atkinson, Kendall E. 24 1988 Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100 Harbrecht, Helmut; Hohage, Thorsten 23 2007 Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. Zbl 1194.65142 Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. 23 2010 Integral equations for transmission problems in linear elasticity. Zbl 0694.73008 Costabel, M.; Stephan, E. P. 23 1990 On pantograph integro-differential equations. Zbl 0816.45005 Iserles, Arieh; Liu, Yunkang 22 1994 On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Zbl 1088.45005 Appleby, John A. D.; Reynolds, David W. 21 2004 Convergence estimates for solution of integral equations with GMRES. Zbl 0859.65137 Campbell, S. L.; Ipsen, I. C. F.; Kelley, C. T.; Meyer, C. D.; Xue, Z. Q. 21 1996 Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156 Frick, Klaus; Scherzer, Otmar 21 2010 The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059 Hanke, Martin 21 2010 Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle. Zbl 1135.65392 Ivanyshyn, Olha; Johansson, Tomas 20 2007 Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004 Potthast, Roland 20 1999 On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. Zbl 1206.47015 Lu, S.; Pereverzev, S. V.; Shao, Y.; Tautenhahn, U. 20 2010 Surface integral formulation of the interior transmission problem. Zbl 1366.78019 Cossonnière, Anne; Haddar, Houssem 20 2013 Modified projection and the iterated modified projection methods for nonlinear integral equations. Zbl 1282.65170 Grammont, Laurence; Kulkarni, Rekha P.; Vasconcelos, Paulo B. 20 2013 Operator norms of powers of the Volterra operator. Zbl 0990.47041 Kershaw, D. 19 1999 Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations. Zbl 0910.65115 Pedas, Arvet; Vainikko, Gennadi 19 1997 Nonlinear integral equations on the half line. Zbl 0766.45001 Anselone, P. M.; Lee, J. W. 19 1992 Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions. Zbl 0756.45005 Meister, E.; Speck, F.-O.; Teixeira, F. S. 19 1992 The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities. Zbl 1166.74008 Alves, Carlos J. S.; Martins, Nuno F. M. 19 2009 Parabolic Volterra integrodifferential equations of convolution type. Zbl 0834.45012 Di Blasio, Gabriella 18 1994 On the theory of partial integral operators. Zbl 0747.45005 Kalitvin, A. S.; Zabrejko, P. P. 18 1991 On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order. Zbl 1335.34023 Tisdell, Christopher C. 18 2012 An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310 Kirsch, Andreas 17 2007 Non-autonomous integrodifferential equations with non-local conditions. Zbl 1044.45002 Liu, James H.; Ezzinbi, Khalil 17 2003 Deconvolution using Meyer wavelets. Zbl 0978.65122 Walter, Gilbert G.; Shen, Xiaoping 17 1999 A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation. Zbl 1361.65075 Hassell, Matthew E.; Qiu, Tianyu; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier 17 2017 Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187 Joly, Patrick; Rodríguez, Jerónimo 17 2017 Existence and approximations of solutions to some fractional order functional integral equations. Zbl 1189.26008 Muslim, M.; Nandakumaran, A. K. 17 2010 Blow-up behavior of Hammerstein-type Volterra integral equations. Zbl 1261.45003 Brunner, H.; Yang, Z. W. 17 2012 Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations. Zbl 1141.65091 Huang, Min; Xu, Yuesheng 16 2006 A general method for solving plane crack problems. Zbl 0780.73012 Lu, Jianke 16 1993 The discrete Petrov-Galerkin method for weakly singular integral equations. Zbl 0974.65122 Chen, Zhongying; Xu, Yuesheng; Zhao, Jiansheng 16 1999 On the use of Green’s function in sampling theory. Zbl 0917.41002 Annaby, M. H.; Zayed, A. I. 16 1998 Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions. Zbl 1407.35147 Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa 16 2018 General and optimal decay in a memory-type Timoshenko system. Zbl 1394.35270 Messaoudi, Salim A.; Hassan, Jamilu Hashim 16 2018 Recompression techniques for adaptive cross approximation. Zbl 1180.65162 Bebendorf, M.; Kunis, S. 16 2009 The method of fundamental solutions for detection of cavities in EIT. Zbl 1189.78059 Borman, D.; Ingham, D. B.; Johansson, B. T.; Lesnic, D. 16 2009 Some Volterra-type fractional integro-differential equations with a multivariable confluent hypergeometric function as their kernel. Zbl 1086.45002 Srivastava, H. M.; Saxena, R. K. 15 2005 A fully-discrete trigonometric collocation method. Zbl 0781.65094 McLean, W.; Prössdorf, Siegfried; Wendland, W. L. 15 1993 Adaptive time domain boundary element methods with engineering applications. Zbl 1361.65073 Gimperlein, Heiko; Maischak, Matthias; Stephan, Ernst P. 15 2017 Some properties of layer potentials and boundary integral operators for the wave equation. Zbl 1277.35082 Domínguez, Víctor; Sayas, Francisco-Javier 15 2013 The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123 Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 15 2011 Superconvergent Nyström and degenerate kernel methods for integral equations of the second kind. Zbl 1261.65136 Allouch, C.; Sablonnière, P.; Sbibih, D.; Tahrichi, M. 15 2012 Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces. Zbl 06979944 Chang, Yong-Kui; Ponce, Rodrigo 15 2018 Fractional diffusion equation with distributed-order Caputo derivative. Zbl 1423.35427 Kubica, Adam; Ryszewska, Katarzyna 15 2019 A numerical method for a nonlocal elliptic boundary value problem. Zbl 1149.65099 Cannon, J. R.; Galiffa, D. J. 14 2008 Multi-level iteration methods for solving integral equations of the second kind. Zbl 1041.65107 Fang, Weifu; Ma, Fuming; Xu, Yuesheng 14 2002 Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003 Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G. 14 2000 Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods. Zbl 0944.65140 Brunner, Hermann; Lin, Yanping; Zhang, Shuhua 14 1998 Global existence and asymptotic stability of mild solutions for stochastic evolution equations with nonlocal initial conditions. Zbl 1371.34086 Chen, Pengyu; Abdelmonem, Ahmed; Li, Yongxiang 14 2017 Differentiability of solutions of abstract neutral integro-differential equations. Zbl 1282.34079 Henríquez, Hernán R.; Dos Santos, José Paulo C. 14 2013 Pseudo \(S\)-asymptotically \((\omega,c)\)-periodic sequential solutions to some semilinear difference equations in Banach spaces. Zbl 07939237 Lin, Dong-Sheng; Chang, Yong-Kui 1 2024 On solvability and approximating the solutions for nonlinear infinite system of fractional functional integral equations in the sequence space \(\ell_p\), \(p > 1\). Zbl 1543.45004 Pathak, Vijai Kumar; Mishra, Lakshmi Narayan 2 2023 Reflected generalized BSDE with jumps under stochastic conditions and an obstacle problem for integral-partial differential equations with nonlinear Neumann boundary conditions. Zbl 1531.35131 Elhachemy, Mohammed; El Otmani, Mohamed 1 2023 Nonexistence of global solutions for time fractional wave equations in an exterior domain. Zbl 1532.35087 He, Jia Wei 1 2023 Existence and approximate solutions for Hadamard fractional integral equations in a Banach space. Zbl 1529.45002 Kazemi, Manochehr; Chaudhary, Harindri; Deep, Amar 1 2023 Existence, uniqueness and regularity of the solution for a system of weakly singular Volterra integral equations of the first kind. Zbl 1525.45004 Shahmorad, Sedaghat; Mostafazadeh, Mahdi 1 2023 Integrodifferential equations of Volterra type with nonlocal and impulsive conditions. Zbl 1493.45013 Diop, Amadou; Dieye, Moustapha; Diop, Mamadou Abdoul; Ezzinbi, Khalil 6 2022 Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems. Zbl 1504.35126 Ruzhansky, Michael; Torebek, Berikbol T.; Turmetov, Batirkhan 4 2022 An existence result for functional integral equations via Petryshyn’s fixed point theorem. Zbl 07576911 Deep, Amar; Kumar, Ashish; Abbas, Syed; Hazarika, Bipan 4 2022 Towards coercive boundary element methods for the wave equation. 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Zbl 1498.45015 Pötzsche, Christian 2 2022 Fixed point theorems in generalized convex metric space and an application to the solution of Volterra integral equations. Zbl 07576917 Wang, Chao; Li, Xueli 2 2022 Method of time-discretization to a multiterm nonlinear retarded differential equation. Zbl 1518.34078 Khatoon, Areefa; Raheem, Abdur; Afreen, Asma 2 2022 Multiple solutions for a binonlocal fractional \(p(x,\cdot)\)-Kirchhoff type problem. Zbl 1491.35428 Azroul, Elhoussine; Benkirane, Abdelmoujib; Shimi, Mohammed; Srati, Mohammed 1 2022 On the solution of a class of integral equations using new weighted convolutions. Zbl 1493.45004 Guerra, Rita C. 1 2022 Existence of solution of functional Volterra-Fredholm integral equations in space \(L^\infty(\mathbb{R}_+)\) and sinc interpolation to find solution. Zbl 1501.45003 Arab, Reza; Rabbani, Mohsen 1 2022 Reflected BSDEs driven by inhomogeneous simple Lévy processes with rcll barrier. Zbl 1502.60092 El Jamali, Mohamed; El Otmani, Mohamed 1 2022 Controllability of semilinear neutral stochastic integrodifferential evolution systems with fractional Brownian motion. Zbl 1525.45008 Cao, Nan; Fu, Xianlong 1 2022 Solvability and approximation of nonlinear functional mixed Volterra-Fredholm equation in Banach space. Zbl 1515.65332 Nwaigwe, Chinedu 1 2022 Solvability for generalized nonlinear functional integral equations in Banach spaces with applications. Zbl 1476.45011 Deep, Amar; Deepmala; Roshan, Jamal Rezaei 12 2021 Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source. Zbl 1505.34018 Nguyen Minh Dien 7 2021 Asymptotic behavior of solutions of Volterra integro-differential equations with and without retardation. Zbl 1494.45009 Graef, John R.; Tunç, Osman 5 2021 Stability and approximation of almost automorphic solutions on time scales for the stochastic Nicholson’s blowflies model. Zbl 1472.34139 Dhama, Soniya; Abbas, Syed; Sakthivel, Rathinasmay 4 2021 Raising the regularity of generalized Abel equations in fractional Sobolev spaces with homogeneous boundary conditions. Zbl 1491.45001 Li, Yulong 3 2021 Global solvability for nonlinear nonautonomous evolution inclusions of Volterra-type and its applications. Zbl 1503.34137 Yu, Yang-Yang; Ma, Zhong-Xin 2 2021 A method of solving a nonlinear boundary value problem for the Fredholm integro-differential equation. Zbl 1475.65220 Dzhumabaev, Dulat S.; Mynbayeva, Sandugash 2 2021 Two-point fractional boundary value problems. Zbl 1486.34063 Ferreira, Rui A. C. 2 2021 Solutions of Fredholm type integral equations via the classical Schauder fixed point theorem. Zbl 1480.45003 Ersoy, Merve Temizer 2 2021 Multiplicity of nontrivial solutions for a class of fractional elliptic equations. Zbl 1502.34033 Kenzizi, Tarek 1 2021 The continuous dependence of global solutions to Caputo fractional order systems. Zbl 1501.34015 Wu, Cong 1 2021 Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP in 2D with general right-hand side. Zbl 1495.35090 Ayele, Tsegaye G. 1 2021 Uniqueness of the partial integro-differential equations. Zbl 1501.45010 Li, Chenkuan 1 2021 Weighted Cauchy problem: fractional versus integer order. Zbl 1510.34021 Morales, María Guadalupe; Došlá, Zuzana 1 2021 Simulation of an integro-differential equation and application in estimation of ruin probability with mixed fractional Brownian motion. Zbl 1504.65010 Cai, Chunhao; Xiao, Weilin 1 2021 Local existence and global nonexistence of a solution for a love equation with infinite memory. Zbl 1467.35211 Zennir, Khaled; Miyasita, Tosiya; Papadopoulos, Perikles 1 2021 A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners. Zbl 1481.65243 Chen, Xiangling; Jiang, Ying 1 2021 New general decay result of the laminated beam system with infinite history. Zbl 1472.35044 Al-Mahdi, Adel M.; Al-Gharabli, Mohammad M.; Messaoudi, Salim A. 1 2021 A general and optimal stability result for a laminated beam. Zbl 1455.35144 Mukiawa, Soh Edwin; Apalara, Tijani A.; Messaoudi, Salim 9 2020 Existence results for neutral integro-differential equations with nonlocal conditions. Zbl 1465.45011 Zhu, Jianbo; Fu, Xianlong 6 2020 Nonlocal elliptic variational-hemivariational inequalities. Zbl 1445.35310 Migórski, Stanisław; Nguyen, van Thien; Zeng, Shengda 6 2020 Mapping properties of weakly singular periodic volume potentials in Roumieu classes. Zbl 1514.47085 Dalla Riva, M.; Lanza de Cristoforis, M.; Musolino, P. 5 2020 Square-mean almost automorphic solution of a stochastic cellular neural network on time scales. Zbl 1460.34113 Dhama, Soniya; Abbas, Syed 5 2020 Nonlinear continuous Fornasini-Marchesini model of fractional order with nonzero initial conditions. Zbl 1448.35547 Idczak, Dariusz; Kamocki, Rafał; Majewski, Marek 5 2020 On the existence, uniqueness and stability results for time-fractional parabolic integrodifferential equations. Zbl 1459.35367 Mahata, Shantiram; Sinha, Rajen Kumar 4 2020 Regularization of a terminal value nonlinear diffusion equation with conformable time derivative. Zbl 1460.35385 van Au, Vo; Zhou, Yong; Can, Nguyen Huu; Tuan, Nguyen Tuy 3 2020 A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems. Zbl 1464.45022 Idczak, Dariusz 3 2020 Asymptotic expansion of iterated Galerkin solution of Fredholm integral equations of the second kind with Green’s kernel. Zbl 1465.45003 Rakshit, Gobinda; Rane, Akshay S. 3 2020 Polyconvolution of Hartley integral transforms \(H_2\) and integral equations. Zbl 1478.44006 Khoa, Nguyen Minh; van Thang, Tran 3 2020 Traveling wave solutions for a SEIR epidemic model in combination with random dispersal and nonlocal dispersal. Zbl 1454.35401 Wu, Xin; Yuan, Rong; Tian, Baochuan 3 2020 Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128 Castro, Luis; Duduchava, Roland; Speck, Frank-Olme 3 2020 An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. Zbl 1454.65132 Luo, Zhendong 3 2020 Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain. Zbl 1447.35141 Mikhailov, S. E.; Portillo, C. F. 3 2020 Integral equations of the third kind in \(L^p\) spaces. Zbl 1465.45001 Diogo, Teresa; Pedas, Arvet; Vainikko, Gennadi 2 2020 On the solutions of linear Volterra equations of the second kind with sum kernels. Zbl 1465.45002 Giscard, Pierre-Louis 2 2020 A subordination principle for subdiffusion equations with memory. Zbl 1460.35215 Ponce, Rodrigo 2 2020 Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation. Zbl 1456.35094 Guan, Wenchao; Jiang, Ying; Xu, Yuesheng 2 2020 Smoothing transformation and collocation methods for third-kind linear Volterra integral equations. Zbl 1472.65168 Xu, Xiaoli; Xiao, Yu; Song, Hui Ming 2 2020 On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient. Zbl 1464.45004 Toranj-Simin, Mohammad; Hadizadeh, Mahmoud 1 2020 On the stability of perturbed Volterra integrodifferential equations. Zbl 1465.45016 Hammami, Mohamed Ali; Hnia, Najla 1 2020 Errata to: “Blow-up of solutions for semilinear fractional Schrödinger equations”. Zbl 1470.35327 Fino, Ahmad Z.; Dannawi, Ihab; Kirane, Mokhtar 1 2020 A well-posed surface currents and charges system for electromagnetism in dielectric media. Zbl 1469.78054 Ganesh, Mahadevan; Hawkins, Stuart; Jeznach, Cole; Volkov, Darko 1 2020 A stability result for an inverse problem with integrodifferential operator on a finite interval. Zbl 1464.45027 Mosazadeh, Seyfollah; Koyunbakan, Hikmet 1 2020 An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays. Zbl 1462.65097 Wang, Lina; Yi, Lijun; Jia, Hongli 1 2020 Fractional diffusion equation with distributed-order Caputo derivative. Zbl 1423.35427 Kubica, Adam; Ryszewska, Katarzyna 15 2019 Smooth solutions to mixed-order fractional differential systems with applications to stability analysis. Zbl 1420.34012 Gallegos, Javier A.; Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A. 13 2019 Superconvergent product integration method for Hammerstein integral equations. Zbl 1416.65525 Allouch, C.; Sbibih, D.; Tahrichi, M. 10 2019 Global attractivity for some classes of Riemann-Liouville fractional differential systems. Zbl 1431.34013 Tuan, H. T.; Czornik, Adam; Nieto, Juan J.; Niezabitowski, Michał 10 2019 Embedded eigenvalues for the Neumann-Poincaré operator. Zbl 1436.31005 Li, Wei; Shipman, Stephen P. 9 2019 A new class of Volterra-type integral equations from relativistic quantum physics. Zbl 1445.45005 Lienert, Matthias; Tumulka, Roderich 7 2019 A doubly nonlocal Laplace operator and its connection to the classical Laplacian. Zbl 1429.35189 Radu, Petronela; Wells, Kelsey 5 2019 Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations. Zbl 1416.65013 Brezinski, Claude; Redivo-Zaglia, Michela 5 2019 Well-posedness and stability for a viscoelastic wave equation with density and time-varying delay in \(\mathbb{R}^n\). Zbl 1439.35058 Feng, Baowei; Yang, Xinguang; Su, Keqin 3 2019 Uniqueness of solutions for weakly degenerate cordial Volterra integral equations. Zbl 1440.45002 Darbenas, Zymantas; Oliver, Marcel 3 2019 Controllability of nonlinear impulsive integro-differential fractional time-invariant systems. Zbl 1440.45007 Huang, Yong; Liu, Zhenhai 3 2019 Essential norm of generalized weighted composition operators from \(H^\infty\) to the logarithmic Bloch space. Zbl 1421.30075 Zhang, Yanhua 3 2019 Fredholm-Choquet integral equations. Zbl 1444.45002 Gal, Sorin G. 3 2019 Volterra-Choquet integral equations. Zbl 1443.45002 Gal, Sorin G. 2 2019 Abstract weighted pseudo almost automorphic functions, convolution invariance and neutral integral equations with applications. Zbl 1442.43005 Pinto, Manuel; Poblete, Felipe; Sepúlveda, Daniel 2 2019 On some classes of elliptic systems with fractional boundary relaxation. Zbl 1421.35138 Prüss, Jan 2 2019 Cordial Volterra integral operators in spaces \(L^p(0,T)\). Zbl 1436.47015 Vainikko, Gennadi 2 2019 Stable manifolds for some partial neutral functional differential equations with non-dense domain. Zbl 1429.35190 Jendoubi, Chiraz 1 2019 Asymptotic expansions for approximate eigenvalues of integral operators with nonsmooth kernels of multiplicity \(m>1\). Zbl 1445.47034 Rane, Akshay S. 1 2019 A hybrid collocation method for fractional initial value problems. Zbl 1416.65556 Wang, Linjun; Wang, Fang; Cao, Yanzhao 1 2019 \(L^p\) bounds for a class of Marcinkiewicz integral operators. Zbl 1440.42047 Al-Salman, Ahmad 1 2019 General decay for a laminated beam with structural damping and memory: the case of non-equal wave speeds. Zbl 1407.35132 Li, Gang; Kong, Xiangyu; Liu, Wenjun 27 2018 Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions. Zbl 1407.35147 Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa 16 2018 General and optimal decay in a memory-type Timoshenko system. Zbl 1394.35270 Messaoudi, Salim A.; Hassan, Jamilu Hashim 16 2018 Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces. Zbl 06979944 Chang, Yong-Kui; Ponce, Rodrigo 15 2018 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009 Diethelm, Kai; Ford, Neville J. 12 2018 Solvability of linear boundary value problems for subdiffusion equations with memory. Zbl 1402.35304 Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya 12 2018 Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405 Xiao, Y.; Shi, J. N.; Yang, Z. W. 8 2018 On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities. Zbl 1393.35093 Ahmad, B.; Alsaedi, A.; Hnaien, D.; Kirane, M. 6 2018 Blow-up of solutions for semilinear fractional Schrödinger equations. Zbl 1393.35220 Fino, A. Z.; Dannawi, I.; Kirane, M. 6 2018 Solution estimates for a system of nonlinear integral equations arising in optometry. Zbl 1395.45011 Okrasiński, Wojciech; Płociniczak, Łukasz 6 2018 Inverse scattering for shape and impedance revisited. Zbl 1402.35091 Kress, Rainer; Rundell, William 5 2018 On a Bohr-Neugebauer property for some almost automorphic abstract delay equations. Zbl 1406.34087 Benkhalti, Rachid; Es-Sebbar, Brahim; Ezzinbi, Khalil 5 2018 ...and 563 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,568 Authors 55 Costarelli, Danilo 48 Nelakanti, Gnaneshwar 46 Vinti, Gianluca 43 O’Regan, Donal 38 Musolino, Paolo 30 Qian, Tao 26 Agarwal, Ravi P. 26 Xu, Yuesheng 25 Allouch, Chafik 25 Chandler-Wilde, Simon N. 25 Dalla Riva, Matteo 25 Mikhailov, Sergey E. 25 Wendland, Wolfgang L. 24 Kress, Rainer 24 Lanza de Cristoforis, Massimo 23 Zhou, Yong 22 Chapko, Roman 22 Sayas, Francisco-Javier 21 Böttcher, Albrecht 21 Vijayakumar, Velusamy 20 Huang, Jin 20 Natroshvili, David 20 Pedas, Arvet 19 Kohr, Mirela 19 Pani, Amiya Kumar 19 Vainikko, Gennadi 19 Vecchio, Antonia 18 Brunner, Hermann 18 Pinheiro de Castro, Luís Filipe 18 Choi, Jae Gil 18 Gil’, Michael Iosif 18 Wang, Jinrong 17 Appleby, John A. 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A. 12 Pötzsche, Christian 12 Reichel, Lothar 12 Tan, Lihui 12 Tatar, Nasser-eddine 12 Yang, Feiying 12 Zhang, Bo 11 Annaby, Mahmoud H. 11 Assari, Pouria 11 Chen, Qiuhui 11 Chepyzhov, Vladimir V. 11 Chkadua, Otar 11 De Bonis, Maria Carmela 11 Fermo, Luisa 11 Karlovych, Oleksiy 11 Krstić, Miroslav 11 Lee, Kuo-Ming 11 Li, Hu 11 Maleknejad, Khosrow 11 Nieto Roig, Juan Jose 11 Rautian, Nadegda Aleksandrovna 11 Sooppy Nisar, Kottakkaran 11 Spence, Euan A. 11 Steinbach, Olaf 11 Tuan, Hoang The 11 Tunç, Cemil ...and 4,468 more Authors all top 5 Cited in 504 Journals 265 Journal of Integral Equations and Applications 192 Journal of Computational and Applied Mathematics 145 Mathematical Methods in the Applied Sciences 144 Applied Mathematics and Computation 136 Journal of Mathematical Analysis and Applications 103 Applied Numerical Mathematics 74 Computers & Mathematics with Applications 70 Journal of Computational Physics 67 Applicable Analysis 63 Inverse Problems 51 Numerical Functional Analysis and Optimization 50 Journal of Scientific Computing 50 Engineering Analysis with Boundary Elements 48 Nonlinear Analysis. 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