# zbMATH — the first resource for mathematics

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 Documents Indexed: 78 Publications since 1983, including 6 Books Reviewing Activity: 183 Reviews
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#### Co-Authors

 17 single-authored 43 Kiguradze, Zurab V. 8 Neta, Beny 6 Korshiya, T. K. 5 Gordeziani, David George 4 Aptsiauri, M. M. 3 Nikolishvili, Maia 2 Abuladze, I. O. 2 Kratsashvili, Maia 2 Lobjanidze, G. B. 1 Avazashvili, Nikoloz 1 Batiashvili, Z. 1 Gagoshide, M. 1 Gagoshidze, Mikheil 1 Hecht, Frédéric 1 Khmaladze, Sh. Eh. 1 Kokilashvili, Vakhtang Mikhailovich 1 Korshiva, T. K. 1 Kratsashvili, A. 1 Lobjanidze, George 1 Lobjanidze, Giorgi 1 Lyubimov, B. Ya. 1 Magnaradze, Levan G. 1 Pironneau, Olivier 1 Reich, Simeon 1 Tagvareliya, T. G.
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#### Serials

 14 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics 7 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 7 Applied Mathematics, Informatics and Mechanics 5 Differential Equations 4 Proceedings of I. Vekua Institute of Applied Mathematics 3 Applied Mathematics and Computation 3 Differential Equations 3 Georgian Mathematical Journal 3 Memoirs on Differential Equations and Mathematical Physics 3 Transactions of A. Razmadze Mathematical Institute 2 Computers & Mathematics with Applications 2 Differentsial’nye Uravneniya 2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Journal of Mathematical Analysis and Applications 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Applications of Mathematics 1 Numerical Algorithms 1 Soviet Physics. Doklady 1 Seminar of I. Vekua Institute of Applied Mathematics. Reports 1 Central European Journal of Mathematics 1 Miskolc Mathematical Notes 1 International Journal of Biomathematics 1 International Journal of Partial Differential Equations
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#### Fields

 41 Partial differential equations (35-XX) 38 Integral equations (45-XX) 34 Numerical analysis (65-XX) 16 Optics, electromagnetic theory (78-XX) 5 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 196 times in 37 Documents Cited by Year
On existence and uniqueness of the solution of a certain class of nonlinear parabolic problems. Zbl 0527.35042
Gordeziani, D. G.; Dzhangveladze, T. A.; Korshiya, T. K.
1983
Finite difference approximation of a nonlinear integro-differential system. Zbl 1179.65162
2009
Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation. Zbl 1186.45013
2009
Convergence of a difference scheme for a nonlinear integro-differential equation. Zbl 1020.65103
1998
Large time behavior of solutions to a nonlinear integro-differential system. Zbl 1172.35330
2009
First boundary-value problem for a nonlinear equation of parabolic type. Zbl 0538.35045
1983
Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance. Zbl 1150.45316
2006
Galerkin finite element method for one nonlinear integro-differential model. Zbl 1216.65183
2011
Large time asymptotic and numerical solution of a nonlinear diffusion model with memory. Zbl 1189.65195
2010
On a nonlinear integro-differential equation of parabolic type. Zbl 0575.45012
1985
On the stabilization of solutions of an initial-boundary value problem for a nonlinear integro-differential equation. Zbl 1136.78018
2007
Existence and uniqueness of a solution of certain nonlinear parabolic problems. Zbl 0582.35065
Gordeziani, D. G.; Dzhangveladze, T. A.; Korshiva, T. K.
1983
Finite element approximations of a nonlinear diffusion model with memory. Zbl 1276.65094
2013
Asymptotic behavior of the solution of a nonlinear integro-differential diffusion equation. Zbl 1172.35500
2008
Nonlinear parabolic integrodifferential equations. Zbl 0595.45022
1985
Large time behavior of the solution to an initial-boundary value problem with mixed boundary conditions for a nonlinear integro-differential equation. Zbl 1233.35124
2011
On a variational statement of a nonlocal boundary value problem for a fourth-order ordinary differential equation. Zbl 1183.34020
Jangveladze, T. A.; Lobjanidze, G. B.
2009
Asymptotic behavior of the solution of a system of nonlinear integro-differential equations. Zbl 1243.45012
2012
Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance. Zbl 1224.35189
2010
Large time behavior of solutions to one nonlinear integro-differential equation. Zbl 1157.35316
2008
Estimates of the stabilization rate as $$t\to\infty$$ of solutions of the nonlinear integro-differential diffusion system. Zbl 1070.45009
2003
On variational formulation and decomposition methods for Bitsadze-Samarskii nonlocal boundary value problem for two-dimensional second order elliptic equations. Zbl 1222.35076
2007
Domain decomposition for Bitsadze-Samarskii boundary value problem. Zbl 1229.65225
2001
Finite difference scheme to a nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance. Zbl 1338.78026
2009
Numerical solution of a class of non-isothermal diffusion problems of an electromagnetic field. Zbl 0634.76091
Dzhangveladze, T. A.; Lyubimov, B. Ya.; Korshiya, T. K.
1986
Large time behavior of solutions and numerical approximation of nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance. Zbl 1200.65105
2008
Long time behavior of solutions to nonlinear integro-differential equation. Zbl 1196.35220
2005
Estimates of a stabilization rate as $$t\to\infty$$ of solutions of a nonlinear integro-differential equation. Zbl 1043.35074
2002
On a nonlocal boundary value problem for a fourth-order ordinary differential equation. Zbl 1244.34021
Jangveladze, T. A.; Lobjanidze, G. B.
2011
On asymptotic behavior of solution of one nonlinear one-dimensional integro-differential analogue of Maxwell’s system. Zbl 1278.35238
2009
Long-time behavior of solution and semi-discrete scheme for one nonlinear parabolic integro-differential equation. Zbl 1355.35100
2016
Large time behavior of solution and semi-discrete scheme for one nonlinear integro-differential equation with source term. Zbl 1334.45017
2014
Large time behavior of solutions and difference schemes to nonlinear integro-differential system associated with the penetration of a magnetic field into a substance. Zbl 1200.78002
2008
Numerical solutions of three classes of nonlinear parabolic integro-differential equations. Zbl 1339.35002
2015
Convergence of difference schemes for some system of nonlinear partial differential equations. Zbl 0616.65089
1987
On the solvability of the first boundary value problem for a nonlinear integro-differential equation of parabolic type. Zbl 0555.45003
1984
On a class of nonlinear parabolic equations arising in problems of diffusion of an electromagnetic field. Zbl 0584.35061
Gordeziani, D. G.; Dzhangveladze, T. A.; Korshiya, T. K.
1983
Long-time behavior of solution and semi-discrete scheme for one nonlinear parabolic integro-differential equation. Zbl 1355.35100
2016
Numerical solutions of three classes of nonlinear parabolic integro-differential equations. Zbl 1339.35002
2015
Large time behavior of solution and semi-discrete scheme for one nonlinear integro-differential equation with source term. Zbl 1334.45017
2014
Finite element approximations of a nonlinear diffusion model with memory. Zbl 1276.65094
2013
Asymptotic behavior of the solution of a system of nonlinear integro-differential equations. Zbl 1243.45012
2012
Galerkin finite element method for one nonlinear integro-differential model. Zbl 1216.65183
2011
Large time behavior of the solution to an initial-boundary value problem with mixed boundary conditions for a nonlinear integro-differential equation. Zbl 1233.35124
2011
On a nonlocal boundary value problem for a fourth-order ordinary differential equation. Zbl 1244.34021
Jangveladze, T. A.; Lobjanidze, G. B.
2011
Large time asymptotic and numerical solution of a nonlinear diffusion model with memory. Zbl 1189.65195
2010
Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance. Zbl 1224.35189
2010
Finite difference approximation of a nonlinear integro-differential system. Zbl 1179.65162
2009
Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation. Zbl 1186.45013
2009
Large time behavior of solutions to a nonlinear integro-differential system. Zbl 1172.35330
2009
On a variational statement of a nonlocal boundary value problem for a fourth-order ordinary differential equation. Zbl 1183.34020
Jangveladze, T. A.; Lobjanidze, G. B.
2009
Finite difference scheme to a nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance. Zbl 1338.78026
2009
On asymptotic behavior of solution of one nonlinear one-dimensional integro-differential analogue of Maxwell’s system. Zbl 1278.35238
2009
Asymptotic behavior of the solution of a nonlinear integro-differential diffusion equation. Zbl 1172.35500
2008
Large time behavior of solutions to one nonlinear integro-differential equation. Zbl 1157.35316
2008
Large time behavior of solutions and numerical approximation of nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance. Zbl 1200.65105
2008
Large time behavior of solutions and difference schemes to nonlinear integro-differential system associated with the penetration of a magnetic field into a substance. Zbl 1200.78002
2008
On the stabilization of solutions of an initial-boundary value problem for a nonlinear integro-differential equation. Zbl 1136.78018
2007
On variational formulation and decomposition methods for Bitsadze-Samarskii nonlocal boundary value problem for two-dimensional second order elliptic equations. Zbl 1222.35076
2007
Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance. Zbl 1150.45316
2006
Long time behavior of solutions to nonlinear integro-differential equation. Zbl 1196.35220
2005
Estimates of the stabilization rate as $$t\to\infty$$ of solutions of the nonlinear integro-differential diffusion system. Zbl 1070.45009
2003
Estimates of a stabilization rate as $$t\to\infty$$ of solutions of a nonlinear integro-differential equation. Zbl 1043.35074
2002
Domain decomposition for Bitsadze-Samarskii boundary value problem. Zbl 1229.65225
2001
Convergence of a difference scheme for a nonlinear integro-differential equation. Zbl 1020.65103
1998
Convergence of difference schemes for some system of nonlinear partial differential equations. Zbl 0616.65089
1987
Numerical solution of a class of non-isothermal diffusion problems of an electromagnetic field. Zbl 0634.76091
Dzhangveladze, T. A.; Lyubimov, B. Ya.; Korshiya, T. K.
1986
On a nonlinear integro-differential equation of parabolic type. Zbl 0575.45012
1985
Nonlinear parabolic integrodifferential equations. Zbl 0595.45022
1985
On the solvability of the first boundary value problem for a nonlinear integro-differential equation of parabolic type. Zbl 0555.45003
1984
On existence and uniqueness of the solution of a certain class of nonlinear parabolic problems. Zbl 0527.35042
Gordeziani, D. G.; Dzhangveladze, T. A.; Korshiya, T. K.
1983
First boundary-value problem for a nonlinear equation of parabolic type. Zbl 0538.35045
1983
Existence and uniqueness of a solution of certain nonlinear parabolic problems. Zbl 0582.35065
Gordeziani, D. G.; Dzhangveladze, T. A.; Korshiva, T. K.
1983
On a class of nonlinear parabolic equations arising in problems of diffusion of an electromagnetic field. Zbl 0584.35061
Gordeziani, D. G.; Dzhangveladze, T. A.; Korshiya, T. K.
1983
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#### Cited by 43 Authors

 15 Jangveladze, Temur A. 13 Kiguradze, Zurab V. 7 Neta, Beny 4 Sharma, Kapil Kumar 4 Sharma, Nisha Kumari 2 Ashyralyev, Allaberen 2 Bai, Yuzhen 2 Chen, Fengxin 2 Gercek, Okan 2 Mirzaee, Farshid 2 Pani, Amiya Kumar 1 Aptsiauri, M. M. 1 Basirat, Behrooz 1 Bhrawy, Ali Hassan 1 Bimesl, Saeed 1 Chen, Huanzhen 1 Choi, Jung-Il 1 Chun, Changbum 1 Daraghmeh, Adnan 1 Hashemizadeh, Elham 1 Hecht, Frédéric 1 Hoseini, Seyede Fatemeh 1 Issa, Ahmad 1 Issa, Kazeem 1 Khan, Majid Ali 1 Khebchareon, Morrakot 1 Kim, Kyoungyoun 1 Lee, Changhoon 1 Liao, HongLin 1 Lin, Yanping 1 Lobjanidze, G. B. 1 Lobjanidze, George 1 Maleknejad, Khosrow 1 Pan, Xiaomin 1 Pironneau, Olivier 1 Qatanani, Naji A. 1 Reich, Simeon 1 Soleymani, Fazlollah 1 Tohidi, Emran 1 Yin, Hongming 1 Zhang, Pingping 1 Zhao, Ying 1 Zhou, Zhaojie
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#### Cited in 21 Serials

 8 Applied Mathematics and Computation 4 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematical Modelling 2 Abstract and Applied Analysis 2 Differential Equations 2 Central European Journal of Mathematics 2 Transactions of A. Razmadze Mathematical Institute 1 Journal of Computational Physics 1 Numerical Functional Analysis and Optimization 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Numerical Algorithms 1 Georgian Mathematical Journal 1 Advances in Computational Mathematics 1 Journal of Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Afrika Matematika 1 Journal of Mathematics 1 International Journal of Partial Differential Equations
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#### Cited in 11 Fields

 28 Numerical analysis (65-XX) 26 Integral equations (45-XX) 13 Partial differential equations (35-XX) 4 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX)