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Mikhailov, Sergey E.

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Author ID: mikhailov.sergey-e Recent zbMATH articles by "Mikhailov, Sergey E."
Published as: Mikhailov, S. E.; Mikhailov, Sergey E.; Mikhailov, S.; Mikhaĭlov, S. E.; Mikhailov, Sergey
External Links: ORCID
Documents Indexed: 69 Publications since 1984

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 352 times in 124 Documents Cited by Year
Localized boundary-domain integral formulations for problems with variable coefficients. Zbl 1016.65097
Mikhailov, S. E.
48
2002
Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains. Zbl 1216.35029
Mikhailov, Sergey E.
46
2011
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
27
2009
Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem. Zbl 1073.65137
Mikhailov, S. E.; Nakhova, I. S.
17
2005
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. Zbl 1276.35067
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
17
2013
Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. Zbl 1146.35031
Mikhailov, Sergey E.
16
2006
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
15
2013
Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems. Zbl 1368.35096
Kohr, Mirela; Lanza de Cristoforis, Massimo; Mikhailov, Sergey E.; Wendland, Wolfgang L.
14
2016
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.
13
2010
Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains. Zbl 1308.35086
Mikhailov, Sergey E.
12
2013
Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. Zbl 1073.65136
Mikhailov, S. E.
11
2005
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
11
2011
A comparative analysis of several nonlocal fracture criteria. Zbl 0927.74061
Isupov, L. P.; Mikhailov, S. E.
9
1998
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations. Zbl 0961.65053
Mikhailov, S. E.
9
1999
Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. Zbl 1235.35098
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
7
2011
Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D. Zbl 1312.65202
Grzhibovskis, Richards; Mikhailov, Sergey; Rjasanow, Sergej
7
2013
Analysis of boundary-domain integral equations for variable-coefficient Dirichlet BVP in 2D. Zbl 1336.65192
Dufera, T. T.; Mikhailov, S. E.
6
2015
Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. Zbl 1272.47060
Ayele, T. G.; Mikhailov, S. E.
6
2011
BDIE system in the mixed BVP for the Stokes equations with variable viscosity. Zbl 1446.76099
Mikhailov, S. E.; Portillo, C. F.
5
2015
On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. Zbl 1393.35030
Gutt, Robert; Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
4
2017
Analysis of some localized boundary-domian integral equations. Zbl 1175.65141
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D.
4
2009
Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body. Zbl 1182.74230
Mikhailov, S. E.
4
2005
Singular stress behavior in a bonded hereditarily-elastic aging wedge. I: Problem statement and degenerate case. Zbl 0882.73026
Mikhailov, S. E.
4
1997
Singular stress behavior in a bonded hereditarily-elastic aging wedge. II: General heredity. Zbl 0882.73027
Mikhailov, S. E.
3
1997
About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients. Zbl 1060.65691
Mikhailov, Sergey E.
2
2004
About traces, extensions, and co-normal derivative operators on Lipschitz domains. Zbl 1217.35053
Mikhailov, S. E.
2
2008
Two-operator boundary – domain integral equations for a variable-coefficient BVP. Zbl 1221.35122
Ayele, T. G.; Mikhailov, S. E.
2
2010
Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body. Zbl 1195.74247
Mikhailov, S. E.
2
2006
Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2
2010
Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. Zbl 1368.35093
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2017
On some weighted Hardy type classes of one-parametric holomorphic functions. II: Partial Volterra operators in parameter. Zbl 0909.30028
Mikhailov, S. E.
2
1998
Stress-singularity analysis in space junctions of thin plates. Zbl 0957.74017
Mikhailov, S. E.; Namestnikova, I. V.
2
2000
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2011
Analysis of boundary-domain integral equations for variable-coefficient Neumann BVP in 2D. Zbl 1408.45008
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E.
2
2017
Homogenization in integral viscoelasticity. Zbl 1016.74054
Mikhailov, S. E.; Orlik, J.
1
2001
Theoretical backgrounds of durability analysis by normalized equivalent stress functionals. Zbl 1048.74002
Mikhailov, S. E.
1
2003
History-sensitive accumulation rules for life-time prediction under variable creep loading. Zbl 1271.74407
Mikhailov, S. E.; Namestnikova, I. V.
1
2011
Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient. Zbl 1255.65220
Mikhailov, Sergey E.; Mohamed, Nurul A.
1
2012
Integral equations of a cohesive zone model for history-dependent materials and their numerical solution. Zbl 1329.74252
Hakim, L.; Mikhailov, S. E.
1
2015
Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations. Zbl 0559.73047
Mikhaĭlov, S. E.
1
1985
On some weighted Hardy type classes of one-parametric holomorphic functions. I: Function properties and Mellin transforms. Zbl 0909.30027
Mikhailov, S. E.
1
1998
Application of finite-dimensional perturbation technique to boundary integral equations. Zbl 0929.65031
Mikhailov, S. E.
1
1998
Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. Zbl 1246.65226
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
1
2011
Nonlinear Abel-type integral equation in modeling creep crack propagation. Zbl 1246.74051
Hakim, L.; Mikhailov, S. E.
1
2011
Homogenization methods and macro-strength of composites. Zbl 1419.74211
Mikhailov, S. E.; Orlik, J.
1
2002
Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with a variable coefficient. Zbl 1096.65121
Mikhailov, Sergey E.
1
2006
A new family of boundary-domain integral equations for the mixed exterior stationary heat transfer problem with variable coefficient. Zbl 1406.65125
Mikhailov, S. E.; Portillo, C. F.
1
2017
Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
1
2018
Newtonian and single layer potentials for the Stokes system with \(L^\infty\) coefficients and the exterior Dirichlet problem. Zbl 1418.35115
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
1
2019
Boundary-domain integral equations for variable coefficient Dirichlet BVP in 2D unbounded domain. Zbl 1428.35117
Dufera, T. T.; Mikhailov, S. E.
1
2019
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.
1
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.
1
2020
Newtonian and single layer potentials for the Stokes system with \(L^\infty\) coefficients and the exterior Dirichlet problem. Zbl 1418.35115
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
1
2019
Boundary-domain integral equations for variable coefficient Dirichlet BVP in 2D unbounded domain. Zbl 1428.35117
Dufera, T. T.; Mikhailov, S. E.
1
2019
Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
1
2018
On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. Zbl 1393.35030
Gutt, Robert; Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
4
2017
Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. Zbl 1368.35093
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2017
Analysis of boundary-domain integral equations for variable-coefficient Neumann BVP in 2D. Zbl 1408.45008
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E.
2
2017
A new family of boundary-domain integral equations for the mixed exterior stationary heat transfer problem with variable coefficient. Zbl 1406.65125
Mikhailov, S. E.; Portillo, C. F.
1
2017
Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems. Zbl 1368.35096
Kohr, Mirela; Lanza de Cristoforis, Massimo; Mikhailov, Sergey E.; Wendland, Wolfgang L.
14
2016
Analysis of boundary-domain integral equations for variable-coefficient Dirichlet BVP in 2D. Zbl 1336.65192
Dufera, T. T.; Mikhailov, S. E.
6
2015
BDIE system in the mixed BVP for the Stokes equations with variable viscosity. Zbl 1446.76099
Mikhailov, S. E.; Portillo, C. F.
5
2015
Integral equations of a cohesive zone model for history-dependent materials and their numerical solution. Zbl 1329.74252
Hakim, L.; Mikhailov, S. E.
1
2015
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. Zbl 1276.35067
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
17
2013
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
15
2013
Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains. Zbl 1308.35086
Mikhailov, Sergey E.
12
2013
Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D. Zbl 1312.65202
Grzhibovskis, Richards; Mikhailov, Sergey; Rjasanow, Sergej
7
2013
Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient. Zbl 1255.65220
Mikhailov, Sergey E.; Mohamed, Nurul A.
1
2012
Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains. Zbl 1216.35029
Mikhailov, Sergey E.
46
2011
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
11
2011
Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. Zbl 1235.35098
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
7
2011
Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. Zbl 1272.47060
Ayele, T. G.; Mikhailov, S. E.
6
2011
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2011
History-sensitive accumulation rules for life-time prediction under variable creep loading. Zbl 1271.74407
Mikhailov, S. E.; Namestnikova, I. V.
1
2011
Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. Zbl 1246.65226
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
1
2011
Nonlinear Abel-type integral equation in modeling creep crack propagation. Zbl 1246.74051
Hakim, L.; Mikhailov, S. E.
1
2011
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.
13
2010
Two-operator boundary – domain integral equations for a variable-coefficient BVP. Zbl 1221.35122
Ayele, T. G.; Mikhailov, S. E.
2
2010
Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2
2010
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
27
2009
Analysis of some localized boundary-domian integral equations. Zbl 1175.65141
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D.
4
2009
About traces, extensions, and co-normal derivative operators on Lipschitz domains. Zbl 1217.35053
Mikhailov, S. E.
2
2008
Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. Zbl 1146.35031
Mikhailov, Sergey E.
16
2006
Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body. Zbl 1195.74247
Mikhailov, S. E.
2
2006
Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with a variable coefficient. Zbl 1096.65121
Mikhailov, Sergey E.
1
2006
Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem. Zbl 1073.65137
Mikhailov, S. E.; Nakhova, I. S.
17
2005
Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. Zbl 1073.65136
Mikhailov, S. E.
11
2005
Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body. Zbl 1182.74230
Mikhailov, S. E.
4
2005
About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients. Zbl 1060.65691
Mikhailov, Sergey E.
2
2004
Theoretical backgrounds of durability analysis by normalized equivalent stress functionals. Zbl 1048.74002
Mikhailov, S. E.
1
2003
Localized boundary-domain integral formulations for problems with variable coefficients. Zbl 1016.65097
Mikhailov, S. E.
48
2002
Homogenization methods and macro-strength of composites. Zbl 1419.74211
Mikhailov, S. E.; Orlik, J.
1
2002
Homogenization in integral viscoelasticity. Zbl 1016.74054
Mikhailov, S. E.; Orlik, J.
1
2001
Stress-singularity analysis in space junctions of thin plates. Zbl 0957.74017
Mikhailov, S. E.; Namestnikova, I. V.
2
2000
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations. Zbl 0961.65053
Mikhailov, S. E.
9
1999
A comparative analysis of several nonlocal fracture criteria. Zbl 0927.74061
Isupov, L. P.; Mikhailov, S. E.
9
1998
On some weighted Hardy type classes of one-parametric holomorphic functions. II: Partial Volterra operators in parameter. Zbl 0909.30028
Mikhailov, S. E.
2
1998
On some weighted Hardy type classes of one-parametric holomorphic functions. I: Function properties and Mellin transforms. Zbl 0909.30027
Mikhailov, S. E.
1
1998
Application of finite-dimensional perturbation technique to boundary integral equations. Zbl 0929.65031
Mikhailov, S. E.
1
1998
Singular stress behavior in a bonded hereditarily-elastic aging wedge. I: Problem statement and degenerate case. Zbl 0882.73026
Mikhailov, S. E.
4
1997
Singular stress behavior in a bonded hereditarily-elastic aging wedge. II: General heredity. Zbl 0882.73027
Mikhailov, S. E.
3
1997
Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations. Zbl 0559.73047
Mikhaĭlov, S. E.
1
1985
all top 5

Cited by 120 Authors

31 Mikhailov, Sergey E.
19 Kohr, Mirela
19 Wendland, Wolfgang L.
10 Sladek, Jan
10 Sladek, Vladimir
8 Natroshvili, David
8 Zhang, Chuanzeng
5 Lanza de Cristoforis, Massimo
4 AL-Jawary, Majeed Ahmed
4 Pintea, Cornel
4 Portillo, Carlos F.
4 Ravnik, Jure
4 Wrobel, Luiz Carlos
3 Agranovich, Mikhail Semënovich
3 Ayele, Tsegaye G.
3 Dineva, Petia S.
3 Fresneda-Portillo, Carlos
3 Glushko, Andrey V.
3 Groşan, Teodor S.
3 Gutt, Robert
3 Manolis, George D.
3 Medková, Dagmar
3 Rabinovich, Vladimir Samuilovich
3 Ryabenko, Aleksandr S.
2 Beshley, Andriy
2 Chapko, Roman
2 Chkadua, Otar
2 Dalla Riva, Matteo
2 Dufera, T. T.
2 Glagolev, Vadim V.
2 Helsing, Johan
2 Johansson, B. Tomas
2 Loginova, Ekaterina A.
2 Markin, A. A.
2 Orlik, Julia
2 Perfekt, Karl-Mikael
2 Petrova, Vera E.
2 Rangelov, Tsviatko V.
2 Woldemicheal, Zenebe W.
1 Albişoru, Andrei-Florin
1 Amaranath, T.
1 Bazilevs, Yuri
1 Bekele, Solomon T.
1 Brenner, Konstantin
1 Buchukuri, Tengiz
1 Cai, Xiao-Chuan
1 Čanić, Sunčica
1 Chen, Daiheng
1 Chernikova, A. S.
1 Choi, Jongkeun
1 Cialdea, Alberto
1 Costabel, Martin
1 Dauge, Monique
1 Deng, Xiaomao
1 Dobroskok, Anastasia A.
1 Eberhardsteiner, Josef
1 Englund, Jonas
1 Faustmann, Markus
1 Fericean, Denisa
1 Gao, Xiaowei
1 Ghassemi, Ahmad
1 González Granada, José Rodrigo
1 Groza, Mayya
1 Grzhibovskis, Richards
1 Guichard, Cindy
1 Gwinner, Joachim
1 Hakim, Layal
1 Harbrecht, Helmut
1 Hellmich, Christian
1 Hon, Yiu-Chung
1 Hsu, Ming-Chen
1 Hughes, Thomas J. R.
1 Kamensky, David
1 Kazberuk, Andrzej
1 Kim, Doyoon
1 Kornev, V. M.
1 Kovtunenko, Viktor Anatolievich
1 Kurguzov, V. D.
1 Lamberti, Pier Domenico
1 Lebeau, Gilles
1 Leguillon, Dominique
1 Leonessa, Vita
1 Liao, Ziju
1 Linkov, Aleksandr M.
1 Lu, Xinyang
1 Malaspina, Angelica
1 Masson, Roland
1 Melenk, Jens Markus
1 Mertsalova, T. A.
1 Mishuris, Gennady S.
1 Mohamed, Nurul Akmal
1 Muha, Boris
1 Musolino, Paolo
1 Nachinkina, G. N.
1 Nakhova, I. S.
1 Namestnikova, I. V.
1 Nazarov, Sergeĭ Aleksandrovich
1 Perelmuter, Mikhail
1 Pozrikidis, Constantine
1 Providas, Efthimios
...and 20 more Authors
all top 5

Cited in 51 Serials

15 Engineering Analysis with Boundary Elements
6 Journal of Mathematical Analysis and Applications
6 Mathematical Methods in the Applied Sciences
5 Journal of Engineering Mathematics
5 Computational Mechanics
4 Computers & Mathematics with Applications
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Mathematical Fluid Mechanics
4 Complex Variables and Elliptic Equations
3 Journal of Integral Equations and Applications
3 Journal of Applied Mechanics and Technical Physics
2 Applicable Analysis
2 Applied Mathematics and Computation
2 Functional Analysis and its Applications
2 Integral Equations and Operator Theory
2 Journal of Differential Equations
2 Mathematische Nachrichten
2 Numerische Mathematik
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 International Journal of Computer Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Abstract and Applied Analysis
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 European Journal of Mechanics. A. Solids
2 Communications on Pure and Applied Analysis
2 International Journal of Fracture
1 Acta Mechanica
1 Journal d’Analyse Mathématique
1 BIT
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Monatshefte für Mathematik
1 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 Numerical Algorithms
1 Automation and Remote Control
1 Journal of Dynamics and Differential Equations
1 Archive of Applied Mechanics
1 Potential Analysis
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Georgian Mathematical Journal
1 Discrete and Continuous Dynamical Systems
1 Taiwanese Journal of Mathematics
1 Analysis and Applications (Singapore)
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Acta Mechanica Sinica
1 Complex Analysis and Operator Theory
1 Axioms
1 Transactions of A. Razmadze Mathematical Institute

Citations by Year