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Chernov, Andreĭ Vladimirovich

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Author ID: chernov.andrei-vladimirovich Recent zbMATH articles by "Chernov, Andreĭ Vladimirovich"
Published as: Chernov, A.; Chernov, A. V.; Chernov, Andreiĭ V.; Chernov, Andreĭ V.; Chernov, Andreĭ Vladimirovich
External Links: Math-Net.Ru
Documents Indexed: 54 Publications since 1998

Co-Authors

32 single-authored
2 Sumin, Vladimir Iosifovich

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 131 times in 36 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.
16
2011
A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation. Zbl 1345.39013
Chernov, A. V.
13
2012
Operators in spaces of measurable functions: The Volterra property and quasinilpotency. Zbl 0958.47014
Sumin, V. I.; Chernov, A. V.
10
1998
Smooth finite-dimensional approximations of distributed optimization problems via control discretization. Zbl 1313.49034
Chernov, A. V.
8
2013
Sufficient conditions for the controllability of nonlinear distributed systems. Zbl 1274.93032
Chernov, A. V.
7
2012
On applicability of control parametrization technique to solving distributed optimization problems. Zbl 1299.49033
Chernov, A. V.
6
2014
On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator. Zbl 1330.47072
Chernov, A. V.
5
2015
On Volterra type generalization of monotonization method for nonlinear functional operator equations. Zbl 1299.47120
Chernov, A. V.
5
2012
On existence of the Nash equilibrium in a differential game associated with elliptic equations: the monotone case. Zbl 1349.91048
Chernov, Andreĭ Vladimirovich
4
2015
Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation. Zbl 1316.93035
Chernov, A. V.
4
2015
On controllability of nonlinear distributed systems on a set of discretized controls. Zbl 1299.93028
Chernov, A. V.
4
2013
On the convergence of the conditional gradient method in distributed optimization problems. Zbl 1274.49037
Chernov, A. V.
4
2011
On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment. Zbl 1388.41009
Chernov, Andreĭ Vladimirovich
3
2017
On a majorant-minorant criterion for the total preservation of global solvability of distributed controlled systems. Zbl 1336.93084
Chernov, A. V.
3
2016
On existence of \(\varepsilon\)-equilibrium in noncooperative \(n\)-person games associated with elliptic partial differential equations. Zbl 1309.91025
Chernov, Andreĭ V.
3
2014
On a generalization of the method of monotone operators. Zbl 1279.47079
Chernov, A. V.
3
2013
On the existence of \(\varepsilon\)-equilibria in Volterra functional operator games without discrimination. Zbl 1273.91062
Chernov, Andreĭ V.
3
2012
Pointwise estimation of the difference of the solutions of a controlled functional operator equation in Lebesgue spaces. Zbl 1235.39016
Chernov, A. V.
3
2010
On the application of Gaussian functions for discretization of optimal control problems. Zbl 1402.49026
Chernov, Andreĭ Vladimirovich
2
2017
On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator. Zbl 1381.93035
Chernov, A. V.
2
2017
Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation. Zbl 1369.90172
Chernov, A. V.
2
2016
On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation. Zbl 1330.35224
Chernov, A. V.
2
2014
On the convexity of reachability sets of controlled initial-boundary value problems. Zbl 1294.93018
Chernov, A. V.
2
2014
A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces. Zbl 1285.47089
Chernov, A. V.
2
2013
Volterra functional operator games on a given set. Zbl 1238.91030
Chernov, Andreĭ V.
2
2011
Certain indicators of the quasi-nilpotency of functional operators. Zbl 0959.47001
Sumin, V. I.; Chernov, A. V.
2
2000
On application of Gaussian functions for numerical solution of optimal control problems. Zbl 1432.49041
Chernov, A. V.
1
2019
On some approaches to find Nash equilibrium in concave games. Zbl 1422.91050
Chernov, A. V.
1
2019
Preservation of the solvability of a semilinear global electric circuit equation. Zbl 1420.35423
Chernov, A. V.
1
2018
The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity. Zbl 1411.35014
Chernov, A. V.
1
2018
JPEG-like method of control parametrization for numerical solution of the distributed optimization problems. Zbl 1386.90143
Chernov, A. V.
1
2017
Differentiation of the functional in a parametric optimization problem for a coefficient of a semilinear elliptic equation. Zbl 1377.49022
Chernov, A. V.
1
2017
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.
1
2016
On the structure of a solution set of controlled initial-boundary value problems. Zbl 1342.35417
Chernov, A. V.
1
2016
On the convexity of global solvability sets for controlled initial-boundary value problems. Zbl 1248.49036
Chernov, A. V.
1
2012
Algorithm of synthesis of control equation for linear dynamic system in finite field. Zbl 1199.37153
Chernov, A. V.
1
2008
On existence stability conditions for global solutions of controlled Goursat problem for hyperbolic equations. Zbl 1054.93026
Chernov, A. V.
1
1999
On application of Gaussian functions for numerical solution of optimal control problems. Zbl 1432.49041
Chernov, A. V.
1
2019
On some approaches to find Nash equilibrium in concave games. Zbl 1422.91050
Chernov, A. V.
1
2019
Preservation of the solvability of a semilinear global electric circuit equation. Zbl 1420.35423
Chernov, A. V.
1
2018
The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity. Zbl 1411.35014
Chernov, A. V.
1
2018
On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment. Zbl 1388.41009
Chernov, Andreĭ Vladimirovich
3
2017
On the application of Gaussian functions for discretization of optimal control problems. Zbl 1402.49026
Chernov, Andreĭ Vladimirovich
2
2017
On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator. Zbl 1381.93035
Chernov, A. V.
2
2017
JPEG-like method of control parametrization for numerical solution of the distributed optimization problems. Zbl 1386.90143
Chernov, A. V.
1
2017
Differentiation of the functional in a parametric optimization problem for a coefficient of a semilinear elliptic equation. Zbl 1377.49022
Chernov, A. V.
1
2017
On a majorant-minorant criterion for the total preservation of global solvability of distributed controlled systems. Zbl 1336.93084
Chernov, A. V.
3
2016
Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation. Zbl 1369.90172
Chernov, A. V.
2
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.
1
2016
On the structure of a solution set of controlled initial-boundary value problems. Zbl 1342.35417
Chernov, A. V.
1
2016
On the totally global solvability of a controlled Hammerstein type equation with a varied linear operator. Zbl 1330.47072
Chernov, A. V.
5
2015
On existence of the Nash equilibrium in a differential game associated with elliptic equations: the monotone case. Zbl 1349.91048
Chernov, Andreĭ Vladimirovich
4
2015
Differentiation of the functional in a parametric optimization problem for the higher coefficient of an elliptic equation. Zbl 1316.93035
Chernov, A. V.
4
2015
On applicability of control parametrization technique to solving distributed optimization problems. Zbl 1299.49033
Chernov, A. V.
6
2014
On existence of \(\varepsilon\)-equilibrium in noncooperative \(n\)-person games associated with elliptic partial differential equations. Zbl 1309.91025
Chernov, Andreĭ V.
3
2014
On total preservation of global solvability for a Goursat problem associated with a controlled semilinear pseudoparabolic equation. Zbl 1330.35224
Chernov, A. V.
2
2014
On the convexity of reachability sets of controlled initial-boundary value problems. Zbl 1294.93018
Chernov, A. V.
2
2014
Smooth finite-dimensional approximations of distributed optimization problems via control discretization. Zbl 1313.49034
Chernov, A. V.
8
2013
On controllability of nonlinear distributed systems on a set of discretized controls. Zbl 1299.93028
Chernov, A. V.
4
2013
On a generalization of the method of monotone operators. Zbl 1279.47079
Chernov, A. V.
3
2013
A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces. Zbl 1285.47089
Chernov, A. V.
2
2013
A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation. Zbl 1345.39013
Chernov, A. V.
13
2012
Sufficient conditions for the controllability of nonlinear distributed systems. Zbl 1274.93032
Chernov, A. V.
7
2012
On Volterra type generalization of monotonization method for nonlinear functional operator equations. Zbl 1299.47120
Chernov, A. V.
5
2012
On the existence of \(\varepsilon\)-equilibria in Volterra functional operator games without discrimination. Zbl 1273.91062
Chernov, Andreĭ V.
3
2012
On the convexity of global solvability sets for controlled initial-boundary value problems. Zbl 1248.49036
Chernov, A. V.
1
2012
A majorant criterion for the total preservation of global solvability of controlled functional operator equation. Zbl 1244.47064
Chernov, A. V.
16
2011
On the convergence of the conditional gradient method in distributed optimization problems. Zbl 1274.49037
Chernov, A. V.
4
2011
Volterra functional operator games on a given set. Zbl 1238.91030
Chernov, Andreĭ V.
2
2011
Pointwise estimation of the difference of the solutions of a controlled functional operator equation in Lebesgue spaces. Zbl 1235.39016
Chernov, A. V.
3
2010
Algorithm of synthesis of control equation for linear dynamic system in finite field. Zbl 1199.37153
Chernov, A. V.
1
2008
Certain indicators of the quasi-nilpotency of functional operators. Zbl 0959.47001
Sumin, V. I.; Chernov, A. V.
2
2000
On existence stability conditions for global solutions of controlled Goursat problem for hyperbolic equations. Zbl 1054.93026
Chernov, A. V.
1
1999
Operators in spaces of measurable functions: The Volterra property and quasinilpotency. Zbl 0958.47014
Sumin, V. I.; Chernov, A. V.
10
1998

Citations by Year