# zbMATH — the first resource for mathematics

## 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: 751 Publications (since 1988) References Indexed: 626 Publications with 12,745 References.
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#### Latest Issues

 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) 11, No. 4 (1999) 11, No. 3 (1999) 11, No. 2 (1999) 11, No. 1 (1999) 10, No. 4 (1998) 10, No. 3 (1998) 10, No. 2 (1998) 10, No. 1 (1998) 9, No. 4 (1997) 9, No. 3 (1997) 9, No. 2 (1997) 9, No. 1 (1997) 8, No. 4 (1996) 8, No. 3 (1996) ...and 28 more Volumes
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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 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 T. H. 5 Cao, Yanzhao 5 Chapko, Roman 5 Kulkarni, Rekha P. 5 McLean, William 5 Miller, Richard K. 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 Haddar, Houssem 4 Herdman, Terry L. 4 Kirk, Colleen M. 4 Lanza de Cristoforis, Massimo 4 Liu, Zhenhai 4 Mastroianni, Giuseppe 4 Mikhailov, Sergey E. 4 Mitina, Anna 4 Natroshvili, David 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 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 Ezzinbi, Khalil 3 Feireisl, Eduard 3 Ford, Neville J. 3 Gal, Sorin Gheorghe 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 Kirsch, Andreas 3 Laurita, Concetta 3 Lin, Yanping 3 Liu, James Hetao 3 Martin, Paul Andrew 3 Messaoudi, Salim A. 3 Nashed, M. Zuhair 3 Noren, Richard D. 3 Olmstead, W. Edward 3 Park, Chull ...and 779 more Authors
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#### Fields

 505 Integral equations (45-XX) 278 Numerical analysis (65-XX) 168 Partial differential equations (35-XX) 142 Operator theory (47-XX) 81 Ordinary differential equations (34-XX) 51 Mechanics of deformable solids (74-XX) 30 Optics, electromagnetic theory (78-XX) 27 Real functions (26-XX) 26 Fluid mechanics (76-XX) 20 Probability theory and stochastic processes (60-XX) 19 Potential theory (31-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Integral transforms, operational calculus (44-XX) 17 Systems theory; control (93-XX) 15 Functional analysis (46-XX) 14 Functions of a complex variable (30-XX) 14 Approximations and expansions (41-XX) 13 Biology and other natural sciences (92-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Abstract harmonic analysis (43-XX) 9 Information and communication theory, circuits (94-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Special functions (33-XX) 6 History and biography (01-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Statistics (62-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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575 Publications have been cited 3,735 times in 2,962 Documents Cited by Year
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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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Numerical solution via Laplace transforms of a fractional order evolution equation. Zbl 1195.65122
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Existence of mild solutions for fractional evolution equations. Zbl 1304.34013
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Numerical methods for hyperbolic and parabolic integro-differential equations. Zbl 0764.65086
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Pseudospectra and singular values of large convolution operators. Zbl 0819.45002
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1994
Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces. Zbl 1308.41017
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2014
Numerical solutions for weakly singular Hammerstein equations and their superconvergence. Zbl 0764.65085
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1992
Traveling waves for a nonlocal dispersal SIR model with standard incidence. Zbl 1295.35170
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2014
Order of approximation for sampling Kantorovich operators. Zbl 1308.41016
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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
Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks. Zbl 1139.45003
Ivanyshyn, Olha; Kress, Rainer
2006
The discrete multi-projection method for Fredholm integral equations of the second kind. Zbl 1138.65109
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2007
Condition number estimates for combined potential boundary integral operators in acoustic scattering. Zbl 1167.35030
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2009
Volterra equations which model explosion in a diffusive medium. Zbl 0804.45002
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1993
Rothe’s method for the heat equation and boundary integral equations. Zbl 0885.65101
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1997
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
Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach. Zbl 0858.45008
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1995
Three-point boundary value problems with solutions that change sign. Zbl 1055.34023
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2003
Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels. Zbl 1041.45011
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2002
Averaging in infinite dimensions. Zbl 0755.45012
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1990
Exponential stabilization of Volterra integral equations with singular kernels. Zbl 0673.45008
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1988
Exact solution of a simple hypersingular integral equation. Zbl 0756.45003
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1992
Perturbation of linear abstract Volterra equations. Zbl 0824.45013
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1990
On integral equations arising in the first-passage problem for Brownian motion. Zbl 1044.60076
Peskir, Goran
2002
The linear sampling method revisited. Zbl 1237.65118
Arens, Tilo; Lechleiter, Armin
2009
Solving Volterra integral equations of the second kind by sigmoidal functions approximation. Zbl 1285.65086
Costarelli, Danilo; Spigler, Renato
2013
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 discrete Galerkin method for first kind integral equations with a logarithmic kernel. Zbl 0676.65140
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1988
An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems. Zbl 1206.47060
2010
The Bedrosian identity and homogeneous semi-convolution equations. Zbl 1160.44004
Yu, Bo; Zhang, Haizhang
2008
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
A Kac-Feynman integral equation for conditional Wiener integrals. Zbl 0751.45003
Park, Chull; Skoug, David
1991
The modified quadrature method for logarithmic-kernel integral equations on closed curves. Zbl 0747.65100
Saranen, Jukka
1991
Integrable solutions of a functional-integral equation. Zbl 0755.45005
Emmanuele, Giovanni
1992
The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056
Atkinson, Kendall; Potra, Florian
1988
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
A nonlocal model for the exchange energy in ferromagnetic materials. Zbl 0762.45004
Rogers, Robert C.
1991
$$L^p$$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel. Zbl 1371.41016
Coroianu, Lucian; Gal, Sorin G.
2017
Integral equations for transmission problems in linear elasticity. Zbl 0694.73008
Costabel, M.; Stephan, E. P.
1990
Fast methods for three-dimensional inverse obstacle scattering problems. Zbl 1138.65100
Harbrecht, Helmut; Hohage, Thorsten
2007
An iterative method for Tikhonov regularization with a general linear regularization operator. Zbl 1210.65092
Hochstenbach, Michiel E.; Reichel, Lothar
2010
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
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
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
Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle. Zbl 1135.65392
Ivanyshyn, Olha; Johansson, Tomas
2007
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
2012
On the use of Green’s function in sampling theory. Zbl 0917.41002
Annaby, M. H.; Zayed, A. I.
1998
On pantograph integro-differential equations. Zbl 0816.45005
Iserles, Arieh; Liu, Yunkang
1994
Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions. Zbl 0756.45005
Meister, E.; Speck, F.-O.; Teixeira, F. S.
1992
A general method for solving plane crack problems. Zbl 0780.73012
Lu, Jianke
1993
Electromagnetic scattering from an orthotropic medium. Zbl 0980.78004
Potthast, Roland
1999
Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations. Zbl 0910.65115
1997
On the theory of partial integral operators. Zbl 0747.45005
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1991
A real analyticity result for a nonlinear integral operator. Zbl 1278.47057
Lanza de Cristoforis, Massimo; Musolino, Paolo
2013
Modified projection and the iterated modified projection methods for nonlinear integral equations. Zbl 1282.65170
Grammont, Laurence; Kulkarni, Rekha P.; Vasconcelos, Paulo B.
2013
The discrete Petrov-Galerkin method for weakly singular integral equations. Zbl 0974.65122
Chen, Zhongying; Xu, Yuesheng; Zhao, Jiansheng
1999
Deconvolution using Meyer wavelets. Zbl 0978.65122
Walter, Gilbert G.; Shen, Xiaoping
1999
Nonlinear integral equations on the half line. Zbl 0766.45001
Anselone, P. M.; Lee, J. W.
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.
2009
The regularizing Levenberg-Marquardt scheme is of optimal order. Zbl 1204.65059
Hanke, Martin
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 fully-discrete trigonometric collocation method. Zbl 0781.65094
McLean, W.; Prössdorf, Siegfried; Wendland, W. L.
1993
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 and approximations of solutions to some fractional order functional integral equations. Zbl 1189.26008
Muslim, M.; Nandakumaran, A. K.
2010
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
Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations. Zbl 1141.65091
Huang, Min; Xu, Yuesheng
2006
Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156
Frick, Klaus; Scherzer, Otmar
2010
Parabolic Volterra integrodifferential equations of convolution type. Zbl 0834.45012
Di Blasio, Gabriella
1994
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
Generation of nonlocal fractional dynamical systems by fractional differential equations. Zbl 1385.34009
Cong, N. D.; Tuan, H. T.
2017
An unconventional quadrature method for logarithmic-kernel integral equations on closed curves. Zbl 0760.65131
Sloan, Ian H.; Burn, B. J.
1992
Variable coefficient transmission problems and singular integral operators on non-smooth manifolds. Zbl 1149.35027
Mitrea, Dorina; Mitrea, Marius; Shi, Qiang
2006
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
Surface integral formulation of the interior transmission problem. Zbl 1366.78019
2013
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
Existence results for neutral integro-differential equations with unbounded delay. Zbl 1228.45019
Dos Santos, José Paulo C.; Henríquez, Hernán; Hernández, Eduardo
2011
Blow-up behavior of Hammerstein-type Volterra integral equations. Zbl 1261.45003
Brunner, H.; Yang, Z. W.
2012
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
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
Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020
Damelin, S. B.; Diethelm, K.
2004
Solvability and spectral properties of integral equations on the real line. II: $$L^p$$-spaces and applications. Zbl 1043.45001
Arens, Tilo; Chandler-Wilde, Simon N.; Haseloh, Kai O.
2003
Application of orthogonality relations to singular integral equations. Zbl 0706.45001
Van der Mee, Cornelis V. M.; Zweifel, P. F.
1990
Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel. Zbl 0745.45001
Okrasiński, W.
1991
On implicitly linear and iterated collocation methods for Hammerstein integral equations. Zbl 0749.65090
Brunner, Hermann
1991
An integral equation for Maxwell’s equations in a layered medium with an application to the factorization method. Zbl 1136.78310
Kirsch, Andreas
2007
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
A fast wavelet collocation method for integral equations on polygons. Zbl 1104.65132
Wang, Yi; Xu, Yuesheng
2005
Phase transition problems in materials with memory. Zbl 0781.45009
Colli, Pierluigi; Grasselli, Maurizio
1993
On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order. Zbl 1335.34023
Tisdell, Christopher C.
2012
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
Integrated resolvent operators. Zbl 0846.45005
Oka, Hirokazu
1995
Coupled Volterra equations with blow-up solutions. Zbl 0847.45006
Olmstead, W. E.; Roberts, Catherine A.; Deng, Keng
1995
Operator norms of powers of the Volterra operator. Zbl 0990.47041
Kershaw, D.
1999
Solvability for generalized nonlinear functional integral equations in Banach spaces with applications. Zbl 07367837
Deep, Amar; Deepmala; Roshan, Jamal Rezaei
2021
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
A stability result for an inverse problem with integrodifferential operator on a finite interval. Zbl 1464.45027
2020
Square-mean almost automorphic solution of a stochastic cellular neural network on time scales. Zbl 1460.34113
Dhama, Soniya; Abbas, Syed
2020
Mixed impedance boundary value problems for the Laplace-Beltrami equation. Zbl 1454.35128
Castro, Luis; Duduchava, Roland; Speck, Frank-Olme
2020
A general and optimal stability result for a laminated beam. Zbl 1455.35144
Mukiawa, Soh Edwin; Apalara, Tijani A.; Messaoudi, Salim
2020
Fractional diffusion equation with distributed-order Caputo derivative. Zbl 1423.35427
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.
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
Embedded eigenvalues for the Neumann-Poincaré operator. Zbl 1436.31005
Li, Wei; Shipman, Stephen P.
2019
Fredholm-Choquet integral equations. Zbl 1444.45002
Gal, Sorin G.
2019
Cordial Volterra integral operators in spaces $$L^p(0,T)$$. Zbl 1436.47015
2019
Controllability of nonlinear impulsive integro-differential fractional time-invariant systems. Zbl 1440.45007
Huang, Yong; Liu, Zhenhai
2019
A doubly nonlocal Laplace operator and its connection to the classical Laplacian. Zbl 1429.35189
2019
Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations. Zbl 1416.65013
Brezinski, Claude; Redivo-Zaglia, Michela
2019
Uniqueness of solutions for weakly degenerate cordial Volterra integral equations. Zbl 1440.45002
Darbenas, Zymantas; Oliver, Marcel
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
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
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
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
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
Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces. Zbl 06979944
Chang, Yong-Kui; Ponce, Rodrigo
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
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
Split-step collocation methods for stochastic Volterra integral equations. Zbl 06873405
Xiao, Y.; Shi, J. N.; Yang, Z. W.
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
Blow up of fractional reaction-diffusion systems with and without convection terms. Zbl 1390.35159
Pérez, Aroldo
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
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
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
On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method. Zbl 1408.65093
Chapko, Roman; Mindrinos, Leonidas
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
Adaptive time domain boundary element methods with engineering applications. Zbl 1361.65073
Gimperlein, Heiko; Maischak, Matthias; Stephan, Ernst P.
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
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation. Zbl 1361.65076
Melenk, Jens Markus; Rieder, Alexander
2017
A modified volume integral equation for anisotropic elastic or conducting inhomogeneities: unconditional solvability by Neumann series. Zbl 1371.35054
Bonnet, Marc
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
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
Central part interpolation schemes for integral equations with singularities. Zbl 1376.65158
Orav-Puurand, Kerli; Pedas, Arvet; Vainikko, Gennadi
2017
Comparison between numerical methods applied to the damped wave equation. Zbl 1361.65077
Aimi, A.; Diligenti, M.; Guardasoni, C.
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
Numerical approximation of first kind Volterra convolution integral equations with discontinuous kernels. Zbl 1361.65101
Davies, Penny J.; Duncan, Dugald B.
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
Memory dependent growth in sublinear Volterra differential equations. Zbl 1384.45002
Appleby, John A. D.; Patterson, Denis D.
2017
Well-posedness of fractional degenerate differential equations with infinite delay in vector-valued functional spaces. Zbl 1373.34115
Bu, Shangquan; Cai, Gang
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
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
$$C^{\sigma,\alpha}$$ estimates for concave, non-local parabolic equations with critical drift. Zbl 1353.35083
Lara, Héctor Chang; Dávila, Gonzalo
2016
Volterra integral equations on variable exponent Lebesgue spaces. Zbl 1334.45003
Castillo, R. E.; Ramos-Fernández, J. C.; Rojas, E. M.
2016
The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder. Zbl 1358.35182
Gintides, Drossos; Mindrinos, Leonidas
2016
A mode III interface crack with surface strain gradient elasticity. Zbl 1381.74022
Wang, Xu; Schiavone, Peter
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
Controllability of fractional integrodifferential equations with state-dependent delay. Zbl 1348.34131
Aissani, Khalida; Benchohra, Mouffak
2016
Compositions of pseudo almost automorphic functions via measure theory and applications. Zbl 1361.43004
Fan, Zhenbin; Dong, Qixiang; Li, Gang
2016
A collocation method solving integral equation models for image restoration. Zbl 1347.65197
Liu, Yuzhen; Shen, Lixin; Xu, Yuesheng; Yang, Hongqi
2016
Application of measure of noncompactness to Volterra equations of convolution type. Zbl 1355.45005
Alvarez, Edgardo; Lizama, Carlos
2016
On some regular fractional Sturm-Liouville problems with generalized Dirichlet conditions. Zbl 1358.34035
Bensidhoum, Fatima-Zahra; Dib, Hacen
2016
Existence of solutions and controllability for impulsive fractional order damped systems. Zbl 1356.34016
Liu, Zhenhai; Li, Xuemei
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
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
Sharp control time for viscoelastic bodies. Zbl 1328.45013
Pandolfi, L.
2015
Boundary integral equations for the transmission eigenvalue problem for Maxwell’s equations. Zbl 1332.35247
Cakoni, Fioralba; Haddar, Houssem; Meng, Shixu
2015
Asymptotic error analysis of projection and modified projection methods for nonlinear integral equations. Zbl 1328.45010
Kulkarni, Rekha P.; Nidhin, T. J.
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
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
2015
A stochastic collocation method for stochastic Volterra equations of the second kind. Zbl 1328.65269
Cao, Yanzhao; Zhang, Ran
2015
Some new results on bounded solutions to a semilinear integro-differential equation in Banach spaces. Zbl 1325.45012
Chang, Yong-Kui; Wei, Xue-Yan; N&rsquo;Guérékata, G. M.
2015
Existence of solution of impulsive second order neutral integro- differential equations with state delay. Zbl 1335.34119
Das, Sanjukta; Pandey, D. N.; Sukavanam, N.
2015
Application of a global implicit function theorem to a general fractional integro-differential system of Volterra type. Zbl 1334.26009
Idczak, Dariusz; Walczak, Stanislaw
2015
A well-conditioned boundary integral equation for transmission problems of electromagnetism. Zbl 1332.31005
Levadoux, David; Millot, Florence; Pernet, Sébastien
2015
Volterra-type operators from analytic Morrey spaces to Bloch space. Zbl 1329.47035
Zhuo, Zhengyuan; Ye, Shanli
2015
Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III. Zbl 1337.34057
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester
2015
Stability of nonlinear Urysohn integral equations via global diffeomorphisms and implicit function theorems. Zbl 1329.45006
Bors, Dorota
2015
An existence result for a class of nonlinear functional integral equations. Zbl 1323.47083
Latrach, Khalid
2015
Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations. Zbl 1327.65255
Poblet-Puig, J.; Valyaev, V. Yu.; Shanin, A. V.
2015
Solvability of a general nonlinear integral equation in $$L^1$$ spaces by means of a measure of weak noncompactness. Zbl 1323.47085
Wang, Fuli
2015
Boundary integral solution of potential problems arising in the modelling of electrified oil films. Zbl 1333.35182
Chappell, David J.
2015
Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces. Zbl 1308.41017
Costarelli, Danilo; Vinti, Gianluca
2014
Traveling waves for a nonlocal dispersal SIR model with standard incidence. Zbl 1295.35170
Li, Wan-Tong; Yang, Fei-Ying
2014
Order of approximation for sampling Kantorovich operators. Zbl 1308.41016
Costarelli, Danilo; Vinti, Gianluca
2014
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 collocation method for a hypersingular boundary integral equation via trigonometric differentiation. Zbl 1310.65169
Kress, Rainer
2014
Approximate controllability of impulsive Riemann-Liouville fractional equations in Banach spaces. Zbl 1303.93041
Liu, Zhenhai; Bin, Maojun
2014
Non-autonomous impulsive Cauchy problems of parabolic type involving nonlocal initial conditions. Zbl 1295.65061
Wang, Rong-Nian; Ezzinbi, Khalil; Zhu, Peng-Xian
2014
Approximations of solutions to a retarded type fractional differential equation with a deviated argument. Zbl 1300.34178
Kumar, Pradeep; Pandey, D. N.; Bahuguna, D.
2014
Active manipulation of fields modeled by the Helmholtz equation. Zbl 1305.78011
Onofrei, Daniel
2014
A note on solutions of interval-valued Volterra integral equations. Zbl 1288.45001
An, Truong Vinh; Phu, Nguyen Dinh; Van Hoa, Ngo
2014
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#### Cited by 3,173 Authors

 42 Costarelli, Danilo 40 O’Regan, Donal 33 Nelakanti, Gnaneshwar 32 Vinti, Gianluca 24 Chandler-Wilde, Simon N. 24 Qian, Tao 24 Xu, Yuesheng 23 Agarwal, Ravi P. 23 Kress, Rainer 22 Musolino, Paolo 21 Sayas, Francisco-Javier 20 Lanza de Cristoforis, Massimo 19 Vainikko, Gennadi 19 Wendland, Wolfgang L. 18 Böttcher, Albrecht 18 Brunner, Hermann 18 Pinheiro de Castro, Luís Filipe 17 Mikhailov, Sergey E. 16 Chapko, Roman 16 Dalla Riva, Matteo 16 Gil’, Michael Iosif 16 Natroshvili, David 16 Pedas, Arvet 15 Appleby, John A. D. 15 Choi, Jae Gil 15 Huang, Jin 15 Kohr, Mirela 15 Laurita, Concetta 15 Vecchio, Antonia 14 Chang, Seung Jun 14 Long, Guangqing 14 Pani, Amiya Kumar 14 Stephan, Ernst Peter 13 Constanda, Christian 13 Sloan, Ian Hugh 13 Wang, Jinrong 12 Chen, Zhongying 12 Diogo, Teresa 12 Infante, Gennaro 12 Pandey, Dwijendra Narain 11 Annaby, Mahmoud H. 11 Chudinovich, Igor Yuryevich 11 Dehghan Takht Fooladi, Mehdi 11 Kulkarni, Rekha P. 11 Lesnic, Daniel 11 Maleknejad, Khosrow 11 Reichel, Lothar 11 Sbibih, Driss 11 Silbermann, Bernd 11 Vlasov, Viktor Valentinovich 11 Zhang, Bo 10 Allouch, Chafik 10 Angeloni, Laura 10 Assari, Pouria 10 Cai, Haotao 10 Cakoni, Fioralba 10 Chen, Qiuhui 10 Darwish, Mohamed Abdalla 10 De Bonis, Maria Carmela 10 Ford, Neville J. 10 Goodrich, Christopher S. 10 Hofmann, Bernd 10 Lee, Kuo-Ming 10 Li, Wan-Tong 10 Mastroianni, Giuseppe 10 Pandolfi, Luciano 10 Tan, Lihui 10 Tatar, Nasser-eddine 10 Xu, Da 10 Yakubovich, Semyon B. 9 Baker, Christopher T. H. 9 Benchohra, Mouffak 9 Chepyzhov, Vladimir V. 9 Deng, Guantie 9 Gimperlein, Heiko 9 Jin, Qinian 9 Kaltenbacher, Barbara 9 Lizama, Carlos 9 Mandal, Moumita 9 McLean, William 9 Nieto Roig, Juan Jose 9 Salem, Hussein A. H. 9 Saranen, Jukka 9 Väth, Martin 9 Yang, Feiying 9 Zhou, Yong 9 Zweifel, Paul F. 8 Ahmad, Bashir 8 Atkinson, Kendall Eugene 8 Banaś, Józef 8 Chen, Jeng-Tzong 8 Das, Payel 8 Desch, Wolfgang 8 Haddar, Houssem 8 Heuer, Norbert 8 Johansson, B. Tomas 8 Kelley, Carl T. 8 Kleefeld, Andreas 8 Małolepszy, Tomasz 8 Mydlarczyk, Wojciech ...and 3,073 more Authors
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#### Cited in 399 Journals

 239 Journal of Integral Equations and Applications 153 Journal of Computational and Applied Mathematics 118 Journal of Mathematical Analysis and Applications 114 Applied Mathematics and Computation 79 Applied Numerical Mathematics 58 Computers & Mathematics with Applications 57 Mathematical Methods in the Applied Sciences 51 Applicable Analysis 51 Journal of Computational Physics 46 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Engineering Analysis with Boundary Elements 41 Inverse Problems 38 Integral Equations and Operator Theory 36 Numerical Functional Analysis and Optimization 35 Numerische Mathematik 34 Journal of Scientific Computing 33 Advances in Computational Mathematics 32 Journal of Differential Equations 29 Zeitschrift für Analysis und ihre Anwendungen 28 Mathematics of Computation 27 Advances in Difference Equations 26 Numerical Algorithms 24 Applied Mathematics Letters 24 Fractional Calculus & Applied Analysis 22 BIT 21 Abstract and Applied Analysis 20 Numerical Methods for Partial Differential Equations 20 Complex Variables and Elliptic Equations 19 Computer Methods in Applied Mechanics and Engineering 19 Computational and Applied Mathematics 19 Journal of Inverse and Ill-Posed Problems 19 Mediterranean Journal of Mathematics 19 Inverse Problems in Science and Engineering 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 International Journal of Computer Mathematics 17 Proceedings of the American Mathematical Society 16 Integral Transforms and Special Functions 15 SIAM Journal on Scientific Computing 15 Journal of Applied Mathematics and Computing 15 Journal of Function Spaces 15 Nonlinear Analysis. Theory, Methods & Applications 14 Nonlinear Analysis. Real World Applications 14 Inverse Problems and Imaging 13 Journal of Mathematical Physics 13 Results in Mathematics 13 Mathematical and Computer Modelling 13 Linear Algebra and its Applications 13 SIAM Journal on Mathematical Analysis 13 The ANZIAM Journal 12 Journal of Approximation Theory 12 Journal of Functional Analysis 12 Journal of Mathematical Sciences (New York) 12 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Fixed Point Theory and Applications 11 Transactions of the American Mathematical Society 11 Journal of Complexity 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Journal of Inequalities and Applications 11 Communications in Nonlinear Science and Numerical Simulation 11 International Journal of Wavelets, Multiresolution and Information Processing 11 Science China. Mathematics 10 Rocky Mountain Journal of Mathematics 10 SIAM Journal on Numerical Analysis 10 Applications of Mathematics 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 SIAM Journal on Applied Mathematics 10 Mathematical Problems in Engineering 10 Differential Equations 10 Communications on Pure and Applied Analysis 10 Boundary Value Problems 10 Complex Analysis and Operator Theory 9 Wave Motion 9 Journal of Optimization Theory and Applications 9 Mathematics and Computers in Simulation 9 Mathematische Nachrichten 9 Applied Mathematical Modelling 9 Discrete and Continuous Dynamical Systems 9 Positivity 9 Wuhan University Journal of Natural Sciences (WUJNS) 8 Ukrainian Mathematical Journal 8 Statistics & Probability Letters 8 Journal of Elasticity 8 Journal of Evolution Equations 8 Fractional Differential Calculus 7 Archive for Rational Mechanics and Analysis 7 Computing 7 Quarterly of Applied Mathematics 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 SIAM Journal on Control and Optimization 7 Acta Applicandae Mathematicae 7 NoDEA. Nonlinear Differential Equations and Applications 7 Journal of Difference Equations and Applications 7 Doklady Mathematics 7 Mathematics and Mechanics of Solids 6 Journal of the Franklin Institute 6 Transport Theory and Statistical Physics 6 Chaos, Solitons and Fractals 6 Semigroup Forum 6 The Annals of Applied Probability 6 Computational Optimization and Applications ...and 299 more Journals
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#### Cited in 49 Fields

 1,214 Numerical analysis (65-XX) 1,112 Integral equations (45-XX) 898 Partial differential equations (35-XX) 542 Operator theory (47-XX) 358 Ordinary differential equations (34-XX) 245 Mechanics of deformable solids (74-XX) 156 Optics, electromagnetic theory (78-XX) 148 Real functions (26-XX) 136 Approximations and expansions (41-XX) 132 Fluid mechanics (76-XX) 119 Probability theory and stochastic processes (60-XX) 115 Harmonic analysis on Euclidean spaces (42-XX) 109 Functional analysis (46-XX) 109 Systems theory; control (93-XX) 78 Functions of a complex variable (30-XX) 78 Information and communication theory, circuits (94-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 74 Potential theory (31-XX) 71 Biology and other natural sciences (92-XX) 63 Integral transforms, operational calculus (44-XX) 59 Special functions (33-XX) 57 Classical thermodynamics, heat transfer (80-XX) 42 Statistical mechanics, structure of matter (82-XX) 36 Dynamical systems and ergodic theory (37-XX) 36 Difference and functional equations (39-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 33 Statistics (62-XX) 29 Measure and integration (28-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Operations research, mathematical programming (90-XX) 13 Abstract harmonic analysis (43-XX) 11 Quantum theory (81-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Computer science (68-XX) 10 Geophysics (86-XX) 7 History and biography (01-XX) 7 Sequences, series, summability (40-XX) 5 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 3 Combinatorics (05-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)