## 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: Indexed cover-to-cover
 Documents Indexed: 783 Publications (since 1988) References Indexed: 658 Publications with 13,438 References.
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### Latest Issues

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### Authors

 15 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 Prössdorf, Siegfried 6 Prüß, Jan Wilhelm 6 Väth, Martin 5 Anderssen, Robert Scott 5 Anselone, Philip M. 5 Appell, Jürgen M. 5 Baker, Christopher Thomas Hale 5 Cao, Yanzhao 5 Kulkarni, Rekha P. 5 McLean, William 5 Miller, Richard K. 5 Natroshvili, David 5 Roberts, Catherine Anne 5 Turi, Janos 5 Vecchio, Antonia 4 Arens, Tilo 4 Benchohra, Mouffak 4 Böttcher, Albrecht 4 Cakoni, Fioralba 4 Costarelli, Danilo 4 Crisci, Maria Rosaria 4 Domínguez, Víctor 4 Ezzinbi, Khalil 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. 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 Chang, Yong-Kui 3 Chen, Xiangling 3 Chudinovich, Igor Yuryevich 3 Constanda, Christian 3 de Hoog, Frank Robert 3 Diethelm, Kai 3 Eggermont, Paul P. B. 3 Elliott, David L. 3 Estrada, Ricardo 3 Feireisl, Eduard 3 Ford, Neville J. 3 Gal, Sorin Gheorghe 3 Ganesh, Mahadevan 3 Grigorieff, Rolf Dieter 3 Hannsgen, Kenneth B. 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 3 Kilbas, Anatoliĭ Aleksandrovich 3 Kirane, Mokhtar 3 Kirsch, Andreas 3 Laurita, Concetta 3 Lin, Yanping 3 Liu, James Hetao 3 Martin, Paul Andrew ...and 833 more Authors
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### Fields

 524 Integral equations (45-XX) 283 Numerical analysis (65-XX) 175 Partial differential equations (35-XX) 152 Operator theory (47-XX) 90 Ordinary differential equations (34-XX) 51 Mechanics of deformable solids (74-XX) 34 Real functions (26-XX) 30 Optics, electromagnetic theory (78-XX) 26 Fluid mechanics (76-XX) 21 Probability theory and stochastic processes (60-XX) 20 Potential theory (31-XX) 20 Systems theory; control (93-XX) 18 Integral transforms, operational calculus (44-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Functions of a complex variable (30-XX) 14 Approximations and expansions (41-XX) 14 Functional analysis (46-XX) 13 Biology and other natural sciences (92-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Information and communication theory, circuits (94-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 Special functions (33-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

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A survey of numerical methods for solving nonlinear integral equations. Zbl 0760.65118
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Existence of mild solutions for fractional evolution equations. Zbl 1304.34013
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Numerical solution via Laplace transforms of a fractional order evolution equation. Zbl 1195.65122
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Characterization of boundary values of functions in Hardy spaces with applications in signal analysis. Zbl 1086.30035
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2005
Numerical methods for hyperbolic and parabolic integro-differential equations. Zbl 0764.65086
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Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces. Zbl 1308.41017
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2014
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139
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2009
The discrete multi-projection method for Fredholm integral equations of the second kind. Zbl 1138.65109
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2007
Traveling waves for a nonlocal dispersal SIR model with standard incidence. Zbl 1295.35170
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2014
Pseudospectra and singular values of large convolution operators. Zbl 0819.45002
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1994
Order of approximation for sampling Kantorovich operators. Zbl 1308.41016
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2014
Numerical solutions for weakly singular Hammerstein equations and their superconvergence. Zbl 0764.65085
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1992
Averaging in infinite dimensions. Zbl 0755.45012
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1990
Perturbation of linear abstract Volterra equations. Zbl 0824.45013
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1990
Condition number estimates for combined potential boundary integral operators in acoustic scattering. Zbl 1167.35030
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2009
Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003
Ivanyshyn, Olha; Kress, Rainer
2006
Volterra equations which model explosion in a diffusive medium. Zbl 0804.45002
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1993
Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density. Zbl 1094.31001
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2004
Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011
Kilbas, Anatoly A.; Saigo, Megumi; Saxena, R. K.
2002
On integral equations arising in the first-passage problem for Brownian motion. Zbl 1044.60076
Peskir, Goran
2002
Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101
Chapko, Roman; Kress, Rainer
1997
Three-point boundary value problems with solutions that change sign. Zbl 1055.34023
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2003
Exact solution of a simple hypersingular integral equation. Zbl 0756.45003
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1992
Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach. Zbl 0858.45008
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1995
The Bedrosian identity and homogeneous semi-convolution equations. Zbl 1160.44004
Yu, Bo; Zhang, Haizhang
2008
A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions. Zbl 1288.65185
Costarelli, Danilo; Spigler, Renato
2014
A Kac-Feynman integral equation for conditional Wiener integrals. Zbl 0751.45003
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1991
An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems. Zbl 1206.47060
2010
$$L^p$$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016
Coroianu, Lucian; Gal, Sorin G.
2017
Exponential stabilization of Volterra integral equations with singular kernels. Zbl 0673.45008
Desch, Wolfgang; Miller, Richard K.
1988
Solving Volterra integral equations of the second kind by sigmoidal functions approximation. Zbl 1285.65086
Costarelli, Danilo; Spigler, Renato
2013
The linear sampling method revisited. Zbl 1237.65118
Arens, Tilo; Lechleiter, Armin
2009
The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056
Atkinson, Kendall; Potra, Florian
1988
The modified quadrature method for logarithmic-kernel integral equations on closed curves. Zbl 0747.65100
Saranen, Jukka
1991
A discrete Galerkin method for first kind integral equations with a logarithmic kernel. Zbl 0676.65140
Atkinson, Kendall E.
1988
Singularity preserving Galerkin methods for weakly singular Fredholm integral equations. Zbl 0819.65139
Cao, Yanzhao; Xu, Yuesheng
1994
Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels. Zbl 0820.45003
Han, Weimin
1994
Integrable solutions of a functional-integral equation. Zbl 0755.45005
Emmanuele, Giovanni
1992
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
2010
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
2012
On wave equations with boundary dissipation of memory type. Zbl 0858.35075
Propst, Georg; Prüss, Jan
1996
Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces. Zbl 1044.45004
Karlovich, Alexei Yu.
2003
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
2007
On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. Zbl 1088.45005
Appleby, John A. D.; Reynolds, David W.
2004
A nonlocal model for the exchange energy in ferromagnetic materials. Zbl 0762.45004
Rogers, Robert C.
1991
Integral equations for transmission problems in linear elasticity. Zbl 0694.73008
Costabel, M.; Stephan, E. P.
1990
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.
2000
Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle. Zbl 1135.65392
Ivanyshyn, Olha; Johansson, Tomas
2007
On pantograph integro-differential equations. Zbl 0816.45005
Iserles, Arieh; Liu, Yunkang
1994
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
2018
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.
1996
Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions. Zbl 0756.45005
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1992
The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059
Hanke, Martin
2010
Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations. Zbl 0910.65115
1997
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.
2010
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
2015
Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004
Potthast, Roland
1999
Deconvolution using Meyer wavelets. Zbl 0978.65122
Walter, Gilbert G.; Shen, Xiaoping
1999
A general method for solving plane crack problems. Zbl 0780.73012
Lu, Jianke
1993
On the theory of partial integral operators. Zbl 0747.45005
Kalitvin, A. S.; Zabrejko, P. P.
1991
Nonlinear integral equations on the half line. Zbl 0766.45001
Anselone, P. M.; Lee, J. W.
1992
On the use of Green’s function in sampling theory. Zbl 0917.41002
Annaby, M. H.; Zayed, A. I.
1998
Generation of nonlocal fractional dynamical systems by fractional differential equations. Zbl 1385.34009
Cong, N. D.; Tuan, H. T.
2017
Modified projection and the iterated modified projection methods for nonlinear integral equations. Zbl 1282.65170
Grammont, Laurence; Kulkarni, Rekha P.; Vasconcelos, Paulo B.
2013
Parabolic Volterra integrodifferential equations of convolution type. Zbl 0834.45012
Di Blasio, Gabriella
1994
Existence results for neutral integro-differential equations with unbounded delay. Zbl 1228.45019
Dos Santos, José Paulo C.; Henríquez, Hernán; Hernández, Eduardo
2011
Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156
Frick, Klaus; Scherzer, Otmar
2010
On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. Zbl 1206.47015
Lu, S.; Pereverzev, S. V.; Shao, Y.; Tautenhahn, U.
2010
A real analyticity result for a nonlinear integral operator. Zbl 1278.47057
Lanza de Cristoforis, Massimo; Musolino, Paolo
2013
On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order. Zbl 1335.34023
Tisdell, Christopher C.
2012
Surface integral formulation of the interior transmission problem. Zbl 1366.78019
2013
The discrete Petrov-Galerkin method for weakly singular integral equations. Zbl 0974.65122
Chen, Zhongying; Xu, Yuesheng; Zhao, Jiansheng
1999
A fully-discrete trigonometric collocation method. Zbl 0781.65094
McLean, W.; Prössdorf, Siegfried; Wendland, W. L.
1993
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.
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.
2009
A Nyström method for boundary integral equations on domains with a piecewise smooth boundary. Zbl 0780.65071
Jeon, Youngmok
1993
Discontinuous boundary-value problems: expansion and sampling theorems. Zbl 1089.34014
Annaby, M. H.; Freiling, G.; Zayed, A. I.
2004
Existence and approximations of solutions to some fractional order functional integral equations. Zbl 1189.26008
Muslim, M.; Nandakumaran, A. K.
2010
Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations. Zbl 1141.65091
Huang, Min; Xu, Yuesheng
2006
A numerical method for a nonlocal elliptic boundary value problem. Zbl 1149.65099
Cannon, J. R.; Galiffa, D. J.
2008
Approximate controllability of impulsive Riemann-Liouville fractional equations in Banach spaces. Zbl 1303.93041
Liu, Zhenhai; Bin, Maojun
2014
A fast wavelet collocation method for integral equations on polygons. Zbl 1104.65132
Wang, Yi; Xu, Yuesheng
2005
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.
2000
Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020
Damelin, S. B.; Diethelm, K.
2004
Non-autonomous integrodifferential equations with non-local conditions. Zbl 1044.45002
Liu, James H.; Ezzinbi, Khalil
2003
On implicitly linear and iterated collocation methods for Hammerstein integral equations. Zbl 0749.65090
Brunner, Hermann
1991
An unconventional quadrature method for logarithmic-kernel integral equations on closed curves. Zbl 0760.65131
Sloan, Ian H.; Burn, B. J.
1992
Blow-up behavior of Hammerstein-type Volterra integral equations. Zbl 1261.45003
Brunner, H.; Yang, Z. W.
2012
The collocation method for solving the radiosity equation for unoccluded surfaces. Zbl 0914.65137
Atkinson, Kendall; Chandler, Graeme
1998
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
1998
Variable coefficient transmission problems and singular integral operators on non-smooth manifolds. Zbl 1149.35027
Mitrea, Dorina; Mitrea, Marius; Shi, Qiang
2006
An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310
Kirsch, Andreas
2007
Recompression techniques for adaptive cross approximation. Zbl 1180.65162
Bebendorf, M.; Kunis, S.
2009
Collocation methods for second kind integral equations with non-compact operators. Zbl 0703.65090
Amini, S.; Sloan, I. H.
1990
Some properties of layer potentials and boundary integral operators for the wave equation. Zbl 1277.35082
Domínguez, Víctor; Sayas, Francisco-Javier
2013
Operator norms of powers of the Volterra operator. Zbl 0990.47041
Kershaw, D.
1999
On the characterization of self-regularization properties of a fully discrete projection method for Symm’s integral equation. Zbl 0982.65141
Pereverzev, Sergei V.; Prössdorf, Siegfried
2000
Phase transition problems in materials with memory. Zbl 0781.45009
Colli, Pierluigi; Grasselli, Maurizio
1993
Counterexamples for abstract linear Volterra equations. Zbl 0778.45013
Desch, Wolfgang; Prüss, Jan
1993
Multiple solutions for a binonlocal fractional $$p(x,\cdot)$$-Kirchhoff type problem. Zbl 1491.35428
Azroul, Elhoussine; Benkirane, Abdelmoujib; Shimi, Mohammed; Srati, Mohammed
2022
Integrodifferential equations of Volterra type with nonlocal and impulsive conditions. Zbl 07543124
2022
Solvability for generalized nonlinear functional integral equations in Banach spaces with applications. Zbl 1476.45011
Deep, Amar; Deepmala; Roshan, Jamal Rezaei
2021
Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source. Zbl 07543109
Nguyen Minh Dien
2021
Simulation of an integro-differential equation and application in estimation of ruin probability with mixed fractional Brownian motion. Zbl 07367836
Cai, Chunhao; Xiao, Weilin
2021
A method of solving a nonlinear boundary value problem for the Fredholm integro-differential equation. Zbl 1475.65220
Dzhumabaev, Dulat S.; Mynbayeva, Sandugash
2021
Two-point fractional boundary value problems. Zbl 1486.34063
Ferreira, Rui A. C.
2021
Solutions of Fredholm type integral equations via the classical Schauder fixed point theorem. Zbl 1480.45003
Ersoy, Merve Temizer
2021
A general and optimal stability result for a laminated beam. Zbl 1455.35144
Mukiawa, Soh Edwin; Apalara, Tijani A.; Messaoudi, Salim
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
2020
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. Zbl 1454.65132
Luo, Zhendong
2020
Nonlocal elliptic variational-hemivariational inequalities. Zbl 1445.35310
Migórski, Stanisław; Nguyen, van Thien; Zeng, Shengda
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.
2020
Integral equations of the third kind in $$L^p$$ spaces. Zbl 1465.45001
Diogo, Teresa; Pedas, Arvet; Vainikko, Gennadi
2020
A subordination principle for subdiffusion equations with memory. Zbl 1460.35215
Ponce, Rodrigo
2020
Square-mean almost automorphic solution of a stochastic cellular neural network on time scales. Zbl 1460.34113
Dhama, Soniya; Abbas, Syed
2020
A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems. Zbl 1464.45022
Idczak, Dariusz
2020
On the existence, uniqueness and stability results for time-fractional parabolic integrodifferential equations. Zbl 1459.35367
Mahata, Shantiram; Sinha, Rajen Kumar
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.
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
2020
Nonlinear continuous Fornasini-Marchesini model of fractional order with nonzero initial conditions. Zbl 1448.35547
Idczak, Dariusz; Kamocki, Rafał; Majewski, Marek
2020
A stability result for an inverse problem with integrodifferential operator on a finite interval. Zbl 1464.45027
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
2020
Mapping properties of weakly singular periodic volume potentials in Roumieu classes. Zbl 07282580
Dalla Riva, M.; Lanza De Cristoforis, M.; Musolino, P.
2020
On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient. Zbl 1464.45004
2020
Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128
Castro, Luis; Duduchava, Roland; Speck, Frank-Olme
2020
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.
2019
Fractional diffusion equation with distributed-order Caputo derivative. Zbl 1423.35427
2019
Embedded eigenvalues for the Neumann-Poincaré operator. Zbl 1436.31005
Li, Wei; Shipman, Stephen P.
2019
A doubly nonlocal Laplace operator and its connection to the classical Laplacian. Zbl 1429.35189
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
2019
Controllability of nonlinear impulsive integro-differential fractional time-invariant systems. Zbl 1440.45007
Huang, Yong; Liu, Zhenhai
2019
Fredholm-Choquet integral equations. Zbl 1444.45002
Gal, Sorin G.
2019
Volterra-Choquet integral equations. Zbl 1443.45002
Gal, Sorin G.
2019
A new class of Volterra-type integral equations from relativistic quantum physics. Zbl 1445.45005
Lienert, Matthias; Tumulka, Roderich
2019
Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations. Zbl 1416.65013
Brezinski, Claude; Redivo-Zaglia, Michela
2019
Cordial Volterra integral operators in spaces $$L^p(0,T)$$. Zbl 1436.47015
2019
Uniqueness of solutions for weakly degenerate cordial Volterra integral equations. Zbl 1440.45002
Darbenas, Zymantas; Oliver, Marcel
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
2019
Superconvergent product integration method for Hammerstein integral equations. Zbl 1416.65525
Allouch, C.; Sbibih, D.; Tahrichi, M.
2019
On some classes of elliptic systems with fractional boundary relaxation. Zbl 1421.35138
Prüss, Jan
2019
A hybrid collocation method for fractional initial value problems. Zbl 1416.65556
Wang, Linjun; Wang, Fang; Cao, Yanzhao
2019
$$L^p$$ bounds for a class of Marcinkiewicz integral operators. Zbl 1440.42047
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
2018
General and optimal decay in a memory-type Timoshenko system. Zbl 1394.35270
Messaoudi, Salim A.; Hassan, Jamilu Hashim
2018
Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces. Zbl 06979944
Chang, Yong-Kui; Ponce, Rodrigo
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
2018
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
2018
Solvability of linear boundary value problems for subdiffusion equations with memory. Zbl 1402.35304
Krasnoschok, Mykola; Pata, Vittorino; Vasylyeva, Nataliya
2018
Blow-up of solutions for semilinear fractional Schrödinger equations. Zbl 1393.35220
Fino, A. Z.; Dannawi, I.; Kirane, M.
2018
Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405
Xiao, Y.; Shi, J. N.; Yang, Z. W.
2018
Coupled Volterra integral equations with blowing up solutions. Zbl 1404.45010
Mydlarczyk, Wojciech
2018
Solution estimates for a system of nonlinear integral equations arising in optometry. Zbl 1395.45011
Okrasiński, Wojciech; Płociniczak, Łukasz
2018
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
2018
Blow up of fractional reaction-diffusion systems with and without convection terms. Zbl 1390.35159
Pérez, Aroldo
2018
Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition. Zbl 1403.34055
Chadha, Alka; Bahuguna, D.; Pandey, Dwijendra N.
2018
On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method. Zbl 1408.65093
Chapko, Roman; Mindrinos, Leonidas
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.
2018
Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities. Zbl 1404.45001
Abadias, Luciano; Alvarez, Edgardo; Lizama, Carlos
2018
On a Bohr-Neugebauer property for some almost automorphic abstract delay equations. Zbl 1406.34087
Benkhalti, Rachid; Es-Sebbar, Brahim; Ezzinbi, Khalil
2018
Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms. Zbl 1415.35177
Ha, Tae Gab
2018
$$L^p$$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016
Coroianu, Lucian; Gal, Sorin G.
2017
Generation of nonlocal fractional dynamical systems by fractional differential equations. Zbl 1385.34009
Cong, N. D.; Tuan, H. T.
2017
Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187
Joly, Patrick; Rodríguez, Jerónimo
2017
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
2017
Adaptive time domain boundary element methods with engineering applications. Zbl 1361.65073
Gimperlein, Heiko; Maischak, Matthias; Stephan, Ernst P.
2017
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation. Zbl 1361.65076
Melenk, Jens Markus; Rieder, Alexander
2017
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
2017
A modified volume integral equation for anisotropic elastic or conducting inhomogeneities: unconditional solvability by Neumann series. Zbl 1371.35054
Bonnet, Marc
2017
Central part interpolation schemes for integral equations with singularities. Zbl 1376.65158
Orav-Puurand, Kerli; Pedas, Arvet; Vainikko, Gennadi
2017
Regularized integral formulation of mixed Dirichlet-Neumann problems. Zbl 1387.35116
Akhmetgaliyev, Eldar; Bruno, Oscar P.
2017
Necessary Fredholm conditions for weighted singular integral operators with shifts and slowly oscillating data. Zbl 1376.45016
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B.
2017
Well-conditioned boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains. Zbl 1376.65146
Turc, Catalin; Boubendir, Yassine; Riahi, Mohamed Kamel
2017
Numerical approximation of first kind Volterra convolution integral equations with discontinuous kernels. Zbl 1361.65101
Davies, Penny J.; Duncan, Dugald B.
2017
Memory dependent growth in sublinear Volterra differential equations. Zbl 1384.45002
Appleby, John A. D.; Patterson, Denis D.
2017
$$L^p$$-solutions for a class of fractional integral equations. Zbl 1370.45007
Agarwal, Ravi P.; Asma; Lupulescu, Vasile; O&rsquo;Regan, Donal
2017
Comparison between numerical methods applied to the damped wave equation. Zbl 1361.65077
Aimi, A.; Diligenti, M.; Guardasoni, C.
2017
Weak solutions for partial Pettis Hadamard fractional integral equations with random effects. Zbl 1384.45004
Abbas, Saïd; Albarakati, Wafaa; Benchohra, Mouffak; Zhou, Yong
2017
Well-posedness of fractional degenerate differential equations with infinite delay in vector-valued functional spaces. Zbl 1373.34115
Bu, Shangquan; Cai, Gang
2017
Recent progress in time domain boundary integral equations. Zbl 1359.00020
2017
Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs. Zbl 1352.45006
Goodrich, Christopher S.
2016
Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains. Zbl 1416.65488
Domínguez, Víctor; Lyon, Mark; Turc, Catalin
2016
On some regular fractional Sturm-Liouville problems with generalized Dirichlet conditions. Zbl 1358.34035
Bensidhoum, Fatima-Zahra; Dib, Hacen
2016
Controllability of fractional integrodifferential equations with state-dependent delay. Zbl 1348.34131
Aissani, Khalida; Benchohra, Mouffak
2016
$$C^{\sigma,\alpha}$$ estimates for concave, non-local parabolic equations with critical drift. Zbl 1353.35083
Lara, Héctor Chang; Dávila, Gonzalo
2016
A collocation method solving integral equation models for image restoration. Zbl 1347.65197
Liu, Yuzhen; Shen, Lixin; Xu, Yuesheng; Yang, Hongqi
2016
The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder. Zbl 1358.35182
Gintides, Drossos; Mindrinos, Leonidas
2016
Approximation of solutions to a delay equation with a random forcing term and non local conditions. Zbl 1355.34100
Chaudhary, Renu; Pandey, Dwijendra N.
2016
Existence of solutions and controllability for impulsive fractional order damped systems. Zbl 1356.34016
Liu, Zhenhai; Li, Xuemei
2016
Volterra integral equations on variable exponent Lebesgue spaces. Zbl 1334.45003
Castillo, R. E.; Ramos-Fernández, J. C.; Rojas, E. M.
2016
A mode III interface crack with surface strain gradient elasticity. Zbl 1381.74022
Wang, Xu; Schiavone, Peter
2016
Application of measure of noncompactness to Volterra equations of convolution type. Zbl 1355.45005
Alvarez, Edgardo; Lizama, Carlos
2016
Compositions of pseudo almost automorphic functions via measure theory and applications. Zbl 1361.43004
Fan, Zhenbin; Dong, Qixiang; Li, Gang
2016
Numerical methods for systems of nonlinear integro-parabolic equations of Volterra type. Zbl 1349.65269
Boglaev, Igor
2016
Boundary integral operator for the fractional Laplacian on the boundary of a bounded smooth domain. Zbl 1361.30063
Chang, Tongkeun
2016
Essential norm of a Volterra-type integral operator from Hardy spaces to some analytic function spaces. Zbl 1354.30048
Zhou, Jizhen; Zhu, Xiangling
2016
Approximate solution of Urysohn integral equations with non-smooth kernels. Zbl 1347.45004
Kulkarni, Rekha P.; Nidhin, T. J.
2016
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
2015
The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels. Zbl 1381.45009
Brunner, Hermann; Ma, Yunyun; Xu, Yuesheng
2015
Sharp control time for viscoelastic bodies. Zbl 1328.45013
Pandolfi, L.
2015
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### Cited by 3,597 Authors

 46 Costarelli, Danilo 41 O’Regan, Donal 37 Nelakanti, Gnaneshwar 36 Vinti, Gianluca 27 Qian, Tao 25 Chandler-Wilde, Simon N. 25 Xu, Yuesheng 23 Agarwal, Ravi P. 23 Kress, Rainer 22 Mikhailov, Sergey E. 22 Musolino, Paolo 22 Wendland, Wolfgang L. 21 Lanza de Cristoforis, Massimo 21 Sayas, Francisco-Javier 19 Vainikko, Gennadi 18 Böttcher, Albrecht 18 Brunner, Hermann 18 Pinheiro de Castro, Luís Filipe 18 Chapko, Roman 18 Huang, Jin 17 Kohr, Mirela 17 Natroshvili, David 17 Pedas, Arvet 17 Vecchio, Antonia 16 Appleby, John A. D. 16 Choi, Jae Gil 16 Dalla Riva, Matteo 16 Gil’, Michael Iosif 16 Pani, Amiya Kumar 15 Laurita, Concetta 15 Long, Guangqing 14 Chang, Seung Jun 14 Constanda, Christian 14 Pandey, Dwijendra Narain 14 Sbibih, Driss 14 Stephan, Ernst Peter 13 Sloan, Ian Hugh 13 Wang, Jinrong 12 Allouch, Chafik 12 Chen, Zhongying 12 Chudinovich, Igor Yuryevich 12 Diogo, Teresa 12 Hofmann, Bernd 12 Infante, Gennaro 12 Kulkarni, Rekha P. 12 Lesnic, Daniel 12 Reichel, Lothar 12 Silbermann, Bernd 12 Vlasov, Viktor Valentinovich 11 Al-saedi, Ahmed Eid Salem 11 Annaby, Mahmoud H. 11 Cai, Haotao 11 Cakoni, Fioralba 11 Chang, Yong-Kui 11 Dehghan Takht Fooladi, Mehdi 11 Ford, Neville J. 11 Goodrich, Christopher S. 11 Lee, Kuo-Ming 11 Li, Wan-Tong 11 Maleknejad, Khosrow 11 Nieto Roig, Juan Jose 11 Tan, Lihui 11 Xu, Da 11 Zhang, Bo 10 Ahmad, Bashir 10 Angeloni, Laura 10 Assari, Pouria 10 Chen, Qiuhui 10 Chepyzhov, Vladimir V. 10 Darwish, Mohamed Abdalla 10 De Bonis, Maria Carmela 10 Deng, Guantie 10 Jin, Qinian 10 Mastroianni, Giuseppe 10 Pandolfi, Luciano 10 Spence, Euan A. 10 Tahrichi, Mohamed 10 Tatar, Nasser-eddine 10 Yakubovich, Semyon B. 10 Yang, Feiying 10 Zhou, Yong 9 Al-Salman, Ahmad 9 Baker, Christopher Thomas Hale 9 Benchohra, Mouffak 9 Das, Payel 9 Gimperlein, Heiko 9 Haddar, Houssem 9 Johansson, B. Tomas 9 Kaltenbacher, Barbara 9 Kelley, Carl T. 9 Li, Hu 9 Lizama, Carlos 9 Mandal, Moumita 9 McLean, William 9 Prössdorf, Siegfried 9 Rautian, Nadegda Aleksandrovna 9 Salem, Hussein A. H. 9 Saranen, Jukka 9 Väth, Martin 9 Zweifel, Paul F. ...and 3,497 more Authors
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### Cited in 440 Journals

 243 Journal of Integral Equations and Applications 163 Journal of Computational and Applied Mathematics 128 Applied Mathematics and Computation 124 Journal of Mathematical Analysis and Applications 84 Applied Numerical Mathematics 67 Computers & Mathematics with Applications 59 Journal of Computational Physics 58 Applicable Analysis 57 Mathematical Methods in the Applied Sciences 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 Engineering Analysis with Boundary Elements 44 Advances in Difference Equations 43 Numerical Functional Analysis and Optimization 42 Inverse Problems 39 Advances in Computational Mathematics 38 Integral Equations and Operator Theory 38 Numerische Mathematik 37 Journal of Scientific Computing 32 Journal of Differential Equations 31 International Journal of Computer Mathematics 30 Mathematics of Computation 30 Computational and Applied Mathematics 29 Zeitschrift für Analysis und ihre Anwendungen 29 Numerical Algorithms 26 Fractional Calculus & Applied Analysis 25 Applied Mathematics Letters 24 BIT 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Abstract and Applied Analysis 22 Inverse Problems in Science and Engineering 21 Journal of Inverse and Ill-Posed Problems 21 Mediterranean Journal of Mathematics 20 Numerical Methods for Partial Differential Equations 20 Complex Variables and Elliptic Equations 19 Computer Methods in Applied Mechanics and Engineering 18 Inverse Problems and Imaging 17 Proceedings of the American Mathematical Society 17 SIAM Journal on Scientific Computing 16 SIAM Journal on Mathematical Analysis 16 Integral Transforms and Special Functions 16 Nonlinear Analysis. Real World Applications 16 Journal of Applied Mathematics and Computing 15 Discrete and Continuous Dynamical Systems. Series B 15 Journal of Function Spaces 15 Nonlinear Analysis. Theory, Methods & Applications 14 Mathematics and Computers in Simulation 14 Results in Mathematics 14 Linear Algebra and its Applications 14 Journal of Mathematical Sciences (New York) 14 Journal of Inequalities and Applications 14 Journal of Fixed Point Theory and Applications 13 Journal of Mathematical Physics 13 Chaos, Solitons and Fractals 13 Journal of Approximation Theory 13 Mathematical and Computer Modelling 13 Communications in Nonlinear Science and Numerical Simulation 13 The ANZIAM Journal 13 Communications on Pure and Applied Analysis 12 Journal of Functional Analysis 12 SIAM Journal on Numerical Analysis 12 Journal of Complexity 12 Boundary Value Problems 12 Science China. Mathematics 11 Rocky Mountain Journal of Mathematics 11 Transactions of the American Mathematical Society 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 SIAM Journal on Applied Mathematics 11 Turkish Journal of Mathematics 11 Differential Equations 11 International Journal of Wavelets, Multiresolution and Information Processing 11 AIMS Mathematics 10 Wave Motion 10 Journal of Optimization Theory and Applications 10 Applications of Mathematics 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Mathematical Problems in Engineering 10 Complex Analysis and Operator Theory 10 Evolution Equations and Control Theory 9 Mathematische Nachrichten 9 Applied Mathematical Modelling 9 Journal of Elasticity 9 Filomat 9 Discrete and Continuous Dynamical Systems 9 Positivity 9 Wuhan University Journal of Natural Sciences (WUJNS) 9 Journal of Evolution Equations 9 Fractional Differential Calculus 8 Ukrainian Mathematical Journal 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Statistics & Probability Letters 8 Acta Applicandae Mathematicae 8 NoDEA. Nonlinear Differential Equations and Applications 8 Journal of Difference Equations and Applications 8 Doklady Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Archive for Rational Mechanics and Analysis 7 Journal of the Franklin Institute 7 Computing 7 Quarterly of Applied Mathematics 7 SIAM Journal on Control and Optimization ...and 340 more Journals
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### Cited in 51 Fields

 1,371 Numerical analysis (65-XX) 1,247 Integral equations (45-XX) 1,036 Partial differential equations (35-XX) 612 Operator theory (47-XX) 433 Ordinary differential equations (34-XX) 273 Mechanics of deformable solids (74-XX) 185 Real functions (26-XX) 177 Optics, electromagnetic theory (78-XX) 161 Approximations and expansions (41-XX) 146 Fluid mechanics (76-XX) 136 Probability theory and stochastic processes (60-XX) 135 Systems theory; control (93-XX) 133 Harmonic analysis on Euclidean spaces (42-XX) 123 Functional analysis (46-XX) 91 Functions of a complex variable (30-XX) 89 Information and communication theory, circuits (94-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 85 Biology and other natural sciences (92-XX) 83 Potential theory (31-XX) 69 Integral transforms, operational calculus (44-XX) 66 Special functions (33-XX) 58 Classical thermodynamics, heat transfer (80-XX) 45 Statistical mechanics, structure of matter (82-XX) 42 Dynamical systems and ergodic theory (37-XX) 41 Difference and functional equations (39-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 35 Statistics (62-XX) 33 Measure and integration (28-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Operations research, mathematical programming (90-XX) 24 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-XX) 15 Quantum theory (81-XX) 13 Abstract harmonic analysis (43-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Geophysics (86-XX) 8 History and biography (01-XX) 7 Sequences, series, summability (40-XX) 6 General topology (54-XX) 5 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Mathematics education (97-XX) 2 Differential geometry (53-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)