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 Author ID: chernov.andrei-vladimirovich Published as: Chernov, A. V.; Chernov, Andreĭ Vladimirovich; Chernov, Andreĭ V.; Chernov, Andreiĭ V. more...less External Links: ORCID · Math-Net.Ru
 Documents Indexed: 62 Publications since 1998 Co-Authors: 1 Co-Author with 2 Joint Publications 10 Co-Co-Authors
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### Co-Authors

 57 single-authored 2 Sumin, Vladimir Iosifovich 1 Bondarenko, M. M. 1 Dolgova, E. N. 1 Pisarev, V. S. 1 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 1 Vinogradova, A. N.
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### Serials

 9 Matematicheskaya Teoriya Igr i eë Prilozheniya 9 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 8 Russian Mathematics 8 Differential Equations 5 Computational Mathematics and Mathematical Physics 5 Automation and Remote Control 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Mathematical Notes 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 International Journal of Mechanical Sciences 1 Differential Equations 1 Programming and Computer Software 1 Obozrenie Prikladnoĭ i Promyshlennoĭ Matematiki 1 Trudy Instituta Matematiki 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Chebyshevskiĭ Sbornik 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Vestnik Rossiĭskikh Universitetov. Matematika
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### Fields

 22 Operator theory (47-XX) 16 Partial differential equations (35-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Systems theory; control (93-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Geophysics (86-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 168 times in 42 Documents Cited by Year
A majorant criterion for the total preservation of global solvability of controlled functional operator equation. Zbl 1244.47064
Chernov, A. V.
2011
A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation. Zbl 1345.39013
Chernov, A. V.
2012
Operators in spaces of measurable functions: The Volterra property and quasinilpotency. Zbl 0958.47014
Sumin, V. I.; Chernov, A. V.
1998
Smooth finite-dimensional approximations of distributed optimization problems via control discretization. Zbl 1313.49034
Chernov, A. V.
2013
On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator. Zbl 1330.47072
Chernov, A. V.
2015
Sufficient conditions for the controllability of nonlinear distributed systems. Zbl 1274.93032
Chernov, A. V.
2012
On existence of the Nash equilibrium in a differential game associated with elliptic equations: the monotone case. Zbl 1349.91048
2015
On applicability of control parametrization technique to solving distributed optimization problems. Zbl 1299.49033
Chernov, A. V.
2014
On Volterra type generalization of monotonization method for nonlinear functional operator equations. Zbl 1299.47120
Chernov, A. V.
2012
Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation. Zbl 1316.93035
Chernov, A. V.
2015
On the convergence of the conditional gradient method in distributed optimization problems. Zbl 1274.49037
Chernov, A. V.
2011
Preservation of the solvability of a semilinear global electric circuit equation. Zbl 1420.35423
Chernov, A. V.
2018
On controllability of nonlinear distributed systems on a set of discretized controls. Zbl 1299.93028
Chernov, A. V.
2013
On a majorant-minorant criterion for the total preservation of global solvability of distributed controlled systems. Zbl 1336.93084
Chernov, A. V.
2016
On the existence of $$\varepsilon$$-equilibria in Volterra functional operator games without discrimination. Zbl 1273.91062
Chernov, Andreĭ V.
2012
On existence of $$\varepsilon$$-equilibrium in noncooperative $$n$$-person games associated with elliptic partial differential equations. Zbl 1309.91025
Chernov, Andreĭ V.
2014
On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator. Zbl 1381.93035
Chernov, A. V.
2017
On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation. Zbl 1330.35224
Chernov, A. V.
2014
Pointwise estimation of the difference of the solutions of a controlled functional operator equation in Lebesgue spaces. Zbl 1235.39016
Chernov, A. V.
2010
On a generalization of the method of monotone operators. Zbl 1279.47079
Chernov, A. V.
2013
Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation. Zbl 1369.90172
Chernov, A. V.
2016
On the uniqueness of solution to the inverse problem of determination parameters in the senior coefficient and the righthand side of an elliptic equation. Zbl 1386.35473
Chernov, A. V.
2016
On the application of Gaussian functions for discretization of optimal control problems. Zbl 1402.49026
2017
On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment. Zbl 1388.41009
2017
Certain indicators of the quasi-nilpotency of functional operators. Zbl 0959.47001
Sumin, V. I.; Chernov, A. V.
2000
On the convexity of reachability sets of controlled initial-boundary value problems. Zbl 1294.93018
Chernov, A. V.
2014
A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces. Zbl 1285.47089
Chernov, A. V.
2013
Volterra functional operator games on a given set. Zbl 1238.91030
Chernov, Andreĭ V.
2011
On application of Gaussian functions for numerical solution of optimal control problems. Zbl 1432.49041
Chernov, A. V.
2019
Differentiation of the functional in a parametric optimization problem for a coefficient of a semilinear elliptic equation. Zbl 1377.49022
Chernov, A. V.
2017
The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity. Zbl 1411.35014
Chernov, A. V.
2018
On some approaches to find Nash equilibrium in concave games. Zbl 1422.91050
Chernov, A. V.
2019
On the structure of a solution set of controlled initial-boundary value problems. Zbl 1342.35417
Chernov, A. V.
2016
On existence stability conditions for global solutions of controlled Goursat problem for hyperbolic equations. Zbl 1054.93026
Chernov, A. V.
1999
On the convexity of global solvability sets for controlled initial-boundary value problems. Zbl 1248.49036
Chernov, A. V.
2012
Local convexity conditions for reachability tubes of distributed control systems. Zbl 1306.93010
Chernov, A. V.
2014
Majorant sign of the first order for totally global solvability of a controlled functional operator equation. Zbl 1441.47097
2018
JPEG-like method of control parametrization for numerical solution of the distributed optimization problems. Zbl 1386.90143
Chernov, A. V.
2017
On some approaches to searching the Nash equilibrium in concave games. Zbl 1405.91010
Chernov, Andreĭ V.
2017
Gaussian functions combined with Kolmogorov’s theorem as applied to approximation of functions of several variables. Zbl 1475.41012
Chernov, A. V.
2020
On totally global solvability of controlled second kind operator equation. Zbl 07282686
2020
Total preservation of the solvability of the semilinear global electric circuit equation. Zbl 1403.93104
Chernov, A. V.
2018
On the uniqueness of solution to the inverse problem of the atmospheric electricity. Zbl 1474.86017
2020
Gaussian functions combined with Kolmogorov’s theorem as applied to approximation of functions of several variables. Zbl 1475.41012
Chernov, A. V.
2020
On totally global solvability of controlled second kind operator equation. Zbl 07282686
2020
On the uniqueness of solution to the inverse problem of the atmospheric electricity. Zbl 1474.86017
2020
On application of Gaussian functions for numerical solution of optimal control problems. Zbl 1432.49041
Chernov, A. V.
2019
On some approaches to find Nash equilibrium in concave games. Zbl 1422.91050
Chernov, A. V.
2019
Preservation of the solvability of a semilinear global electric circuit equation. Zbl 1420.35423
Chernov, A. V.
2018
The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity. Zbl 1411.35014
Chernov, A. V.
2018
Majorant sign of the first order for totally global solvability of a controlled functional operator equation. Zbl 1441.47097
2018
Total preservation of the solvability of the semilinear global electric circuit equation. Zbl 1403.93104
Chernov, A. V.
2018
On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator. Zbl 1381.93035
Chernov, A. V.
2017
On the application of Gaussian functions for discretization of optimal control problems. Zbl 1402.49026
2017
On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment. Zbl 1388.41009
2017
Differentiation of the functional in a parametric optimization problem for a coefficient of a semilinear elliptic equation. Zbl 1377.49022
Chernov, A. V.
2017
JPEG-like method of control parametrization for numerical solution of the distributed optimization problems. Zbl 1386.90143
Chernov, A. V.
2017
On some approaches to searching the Nash equilibrium in concave games. Zbl 1405.91010
Chernov, Andreĭ V.
2017
On a majorant-minorant criterion for the total preservation of global solvability of distributed controlled systems. Zbl 1336.93084
Chernov, A. V.
2016
Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation. Zbl 1369.90172
Chernov, A. V.
2016
On the uniqueness of solution to the inverse problem of determination parameters in the senior coefficient and the righthand side of an elliptic equation. Zbl 1386.35473
Chernov, A. V.
2016
On the structure of a solution set of controlled initial-boundary value problems. Zbl 1342.35417
Chernov, A. V.
2016
On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator. Zbl 1330.47072
Chernov, A. V.
2015
On existence of the Nash equilibrium in a differential game associated with elliptic equations: the monotone case. Zbl 1349.91048
2015
Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation. Zbl 1316.93035
Chernov, A. V.
2015
On applicability of control parametrization technique to solving distributed optimization problems. Zbl 1299.49033
Chernov, A. V.
2014
On existence of $$\varepsilon$$-equilibrium in noncooperative $$n$$-person games associated with elliptic partial differential equations. Zbl 1309.91025
Chernov, Andreĭ V.
2014
On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation. Zbl 1330.35224
Chernov, A. V.
2014
On the convexity of reachability sets of controlled initial-boundary value problems. Zbl 1294.93018
Chernov, A. V.
2014
Local convexity conditions for reachability tubes of distributed control systems. Zbl 1306.93010
Chernov, A. V.
2014
Smooth finite-dimensional approximations of distributed optimization problems via control discretization. Zbl 1313.49034
Chernov, A. V.
2013
On controllability of nonlinear distributed systems on a set of discretized controls. Zbl 1299.93028
Chernov, A. V.
2013
On a generalization of the method of monotone operators. Zbl 1279.47079
Chernov, A. V.
2013
A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces. Zbl 1285.47089
Chernov, A. V.
2013
A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation. Zbl 1345.39013
Chernov, A. V.
2012
Sufficient conditions for the controllability of nonlinear distributed systems. Zbl 1274.93032
Chernov, A. V.
2012
On Volterra type generalization of monotonization method for nonlinear functional operator equations. Zbl 1299.47120
Chernov, A. V.
2012
On the existence of $$\varepsilon$$-equilibria in Volterra functional operator games without discrimination. Zbl 1273.91062
Chernov, Andreĭ V.
2012
On the convexity of global solvability sets for controlled initial-boundary value problems. Zbl 1248.49036
Chernov, A. V.
2012
A majorant criterion for the total preservation of global solvability of controlled functional operator equation. Zbl 1244.47064
Chernov, A. V.
2011
On the convergence of the conditional gradient method in distributed optimization problems. Zbl 1274.49037
Chernov, A. V.
2011
Volterra functional operator games on a given set. Zbl 1238.91030
Chernov, Andreĭ V.
2011
Pointwise estimation of the difference of the solutions of a controlled functional operator equation in Lebesgue spaces. Zbl 1235.39016
Chernov, A. V.
2010
Certain indicators of the quasi-nilpotency of functional operators. Zbl 0959.47001
Sumin, V. I.; Chernov, A. V.
2000
On existence stability conditions for global solutions of controlled Goursat problem for hyperbolic equations. Zbl 1054.93026
Chernov, A. V.
1999
Operators in spaces of measurable functions: The Volterra property and quasinilpotency. Zbl 0958.47014
Sumin, V. I.; Chernov, A. V.
1998
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### Cited by 9 Authors

 20 Chernov, Andreĭ Vladimirovich 3 Sumin, Vladimir Iosifovich 2 Sumin, Mikhail Iosifovich 1 Bárcenas, Noé 1 Li, Haiying 1 Ma, Tianshui 1 Mamedov, Ilgar Gurbat oglu 1 Pogodaev, Nikolaĭ Il’ich 1 Tolstonogov, Aleksandr Aleksandrovich
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### Cited in 13 Serials

 7 Russian Mathematics 6 Differential Equations 6 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 5 Computational Mathematics and Mathematical Physics 5 Automation and Remote Control 3 Mathematical Notes 2 Matematicheskaya Teoriya Igr i eë Prilozheniya 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Vestnik Rossiĭskikh Universitetov. Matematika 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Osaka Journal of Mathematics 1 Siberian Mathematical Journal 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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### Cited in 18 Fields

 16 Operator theory (47-XX) 12 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Systems theory; control (93-XX) 8 Difference and functional equations (39-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Approximations and expansions (41-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX)