Edit Profile (opens in new tab) Polovinkin, Evgenii Sergeevich Co-Author Distance Author ID: polovinkin.e-s Published as: Polovinkin, E. S.; Polovinkin, Evgeny Sergeevich; Polovinkin, Evgenii S. more...less External Links: Math-Net.Ru Documents Indexed: 47 Publications since 1971, including 1 Book Biographic References: 1 Publication Co-Authors: 20 Co-Authors with 18 Joint Publications 487 Co-Co-Authors all top 5 Co-Authors 29 single-authored 5 Gusyatnikov, P. B. 3 Balashov, Maxim Viktorovich 3 Ivanov, Grigorii E. 3 Smirnov, Georgi V. 2 Konstantinov, R. V. 1 Abramova, Veronika Valer’evna 1 Arutyunov, Aram Vladimirovic 1 Buslaev, Aleksandr Pavlovich 1 Demidovich, Vasiliĭ Borisovich 1 Dudov, Sergeĭ Ivanovich 1 Galeev, Eh. M. 1 Gol’dman, Mikhail L’vovich 1 Ivanov, Grigory M. 1 Khorev, A. V. 1 Kusraev, Anatoly Georgievich 1 Kutateladze, Semën Samsonovich 1 Magaril-Il’yaev, Gregoriĭ Geogrievich 1 Osipenko, Konstantin Yur’evich 1 Yashin, Aleksandr D. 1 Zakharov, Valeriĭ Konstantinovich all top 5 Serials 7 Proceedings of the Steklov Institute of Mathematics 5 Differential Equations 5 Doklady Mathematics 3 Mathematical Notes 3 Kibernetika 3 Soviet Mathematics. Doklady 3 Sbornik: Mathematics 2 Moscow University Mathematics Bulletin 2 Differentsial’nye Uravneniya 2 Journal of Mathematical Sciences (New York) 1 Journal of Applied Mathematics and Mechanics 1 Optimization 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 Journal of Convex Analysis 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Fields 19 Calculus of variations and optimal control; optimization (49-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Ordinary differential equations (34-XX) 7 Real functions (26-XX) 7 Convex and discrete geometry (52-XX) 5 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 277 times in 201 Documents Cited by ▼ Year ▼ Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028Polovinkin, E. S.; Balashov, M. V. 71 2007 Strongly convex analysis. Zbl 0869.52002Polovinkin, E. S. 38 1996 \(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014Balashov, M. V.; Polovinkin, E. S. 37 2000 The integration of multivalued mappings. Zbl 0593.28009Polovinkin, E. S. 14 1983 An approach to the differentiation of many-valued mappings, and necessary optimality conditions for optimization of solutions of differential inclusions. Zbl 0604.49011Polovinkin, E. S.; Smirnov, G. V. 13 1986 An algorithm for the numerical solution of linear differential games. Zbl 1128.91305Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V. 10 2001 Mathematical simulation of a dynamic game in the enterprise competition problem. Zbl 1132.91355Konstantinov, R. V.; Polovinkin, E. S. 10 2004 On a time-optimal control problem for differential inclusions. Zbl 0611.49025Polovinkin, E. S.; Smirnov, G. V. 7 1986 Differentiation of multivalued mappings and properties of solutions of differential inclusions. Zbl 0659.34013Polovinkin, E. S.; Smirnov, G. V. 6 1986 Differential inclusions with measurable-pseudo-Lipschitz right-hand side. Zbl 1294.34015Polovinkin, E. S. 6 2013 The properties of continuity and differentiation of solution sets of Lipschitzean differential inclusions. Zbl 0742.34017Polovinkin, E. S. 5 1991 Stability of terminal sets and optimization of pursuit time in differential games. Zbl 0567.90110Polovinkin, E. S. 5 1984 Convex bodies of constant width. Zbl 1378.52007Polovinkin, E. S. 5 2004 Necessary conditions for an optimization problem with a differential inclusion. Zbl 0877.49021Polovinkin, E. S. 4 1995 On strongly convex sets and strongly convex functions. Zbl 0983.52001Polovinkin, E. S. 4 1999 A simple quasi-linear pursuit problem. Zbl 0468.90097Gusyatnikov, P. B.; Polovinkin, E. S. 4 1980 On strongly convex differential games. Zbl 0867.90139Ivanov, G. E.; Polovinkin, E. S. 4 1995 Differential inclusions with unbounded right-hand side and necessary optimality conditions. Zbl 1336.49030Polovinkin, E. S. 4 2015 On the calculation of the polar cone of the solution set of a differential inclusion. Zbl 1311.34138Polovinkin, E. S. 4 2012 Necessary conditions for optimization problems with differential inclusions. Zbl 0796.49023Polovinkin, E. S. 3 1993 On the weak polar cone of the solution set of a differential inclusion with conic graph. Zbl 1345.49017Polovinkin, E. S. 3 2016 Second-order convergence of an algorithm calculating the value of linear differential games. Zbl 0876.90110Ivanov, G. E.; Polovinkin, E. S. 3 1995 On continuous variations of trajectories of differential inclusion with unbounded right-hand side. Zbl 1443.34023Polovinkin, Evgenii S. 2 2020 A generalization of the set averaging theorem. Zbl 1267.26010Ivanov, G. M.; Polovinkin, E. S. 2 2012 Antagonistic two-person games in dynamic systems. I. Zbl 0315.90083Polovinkin, E. S. 2 1975 On convex and strongly convex approximations of sets. Zbl 0894.46008Polovinkin, E. S. 2 1996 On the construction of bodies of constant width containing a given set. Zbl 1228.52004Polovinkin, E. S. 1 2010 On some properties of vector measures. Zbl 1423.28034Polovinkin, E. S. 1 2018 Riemannian integral of set-valued function. Zbl 0321.49021Polovinkin, E. S. 1 1975 Pontryagin’s direct method for optimization problems with differential inclusion. Zbl 1420.49020Polovinkin, E. S. 1 2019 Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space. Zbl 1454.90107Dudov, S. I.; Polovinkin, E. S.; Abramova, V. V. 1 2020 Nonautonomous differential games. Zbl 0461.90098Polovinkin, E. S. 1 1979 On two types of operators for biparametric equations. Zbl 0483.34004Gusyatnikov, P. B.; Polovinkin, E. S. 1 1980 Subdifferentials for the difference of two convex functions. Zbl 1353.49024Polovinkin, E. S. 1 2016 A generalization of theorems of Carathéodory and Krein-Mil’man for strongly convex sets. Zbl 0970.52006Polovinkin, E. S. 1 1997 On continuous variations of trajectories of differential inclusion with unbounded right-hand side. Zbl 1443.34023Polovinkin, Evgenii S. 2 2020 Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space. Zbl 1454.90107Dudov, S. I.; Polovinkin, E. S.; Abramova, V. V. 1 2020 Pontryagin’s direct method for optimization problems with differential inclusion. Zbl 1420.49020Polovinkin, E. S. 1 2019 On some properties of vector measures. Zbl 1423.28034Polovinkin, E. S. 1 2018 On the weak polar cone of the solution set of a differential inclusion with conic graph. Zbl 1345.49017Polovinkin, E. S. 3 2016 Subdifferentials for the difference of two convex functions. Zbl 1353.49024Polovinkin, E. S. 1 2016 Differential inclusions with unbounded right-hand side and necessary optimality conditions. Zbl 1336.49030Polovinkin, E. S. 4 2015 Differential inclusions with measurable-pseudo-Lipschitz right-hand side. Zbl 1294.34015Polovinkin, E. S. 6 2013 On the calculation of the polar cone of the solution set of a differential inclusion. Zbl 1311.34138Polovinkin, E. S. 4 2012 A generalization of the set averaging theorem. Zbl 1267.26010Ivanov, G. M.; Polovinkin, E. S. 2 2012 On the construction of bodies of constant width containing a given set. Zbl 1228.52004Polovinkin, E. S. 1 2010 Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028Polovinkin, E. S.; Balashov, M. V. 71 2007 Mathematical simulation of a dynamic game in the enterprise competition problem. Zbl 1132.91355Konstantinov, R. V.; Polovinkin, E. S. 10 2004 Convex bodies of constant width. Zbl 1378.52007Polovinkin, E. S. 5 2004 An algorithm for the numerical solution of linear differential games. Zbl 1128.91305Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V. 10 2001 \(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014Balashov, M. V.; Polovinkin, E. S. 37 2000 On strongly convex sets and strongly convex functions. Zbl 0983.52001Polovinkin, E. S. 4 1999 A generalization of theorems of Carathéodory and Krein-Mil’man for strongly convex sets. Zbl 0970.52006Polovinkin, E. S. 1 1997 Strongly convex analysis. Zbl 0869.52002Polovinkin, E. S. 38 1996 On convex and strongly convex approximations of sets. Zbl 0894.46008Polovinkin, E. S. 2 1996 Necessary conditions for an optimization problem with a differential inclusion. Zbl 0877.49021Polovinkin, E. S. 4 1995 On strongly convex differential games. Zbl 0867.90139Ivanov, G. E.; Polovinkin, E. S. 4 1995 Second-order convergence of an algorithm calculating the value of linear differential games. Zbl 0876.90110Ivanov, G. E.; Polovinkin, E. S. 3 1995 Necessary conditions for optimization problems with differential inclusions. Zbl 0796.49023Polovinkin, E. S. 3 1993 The properties of continuity and differentiation of solution sets of Lipschitzean differential inclusions. Zbl 0742.34017Polovinkin, E. S. 5 1991 An approach to the differentiation of many-valued mappings, and necessary optimality conditions for optimization of solutions of differential inclusions. Zbl 0604.49011Polovinkin, E. S.; Smirnov, G. V. 13 1986 On a time-optimal control problem for differential inclusions. Zbl 0611.49025Polovinkin, E. S.; Smirnov, G. V. 7 1986 Differentiation of multivalued mappings and properties of solutions of differential inclusions. Zbl 0659.34013Polovinkin, E. S.; Smirnov, G. V. 6 1986 Stability of terminal sets and optimization of pursuit time in differential games. Zbl 0567.90110Polovinkin, E. S. 5 1984 The integration of multivalued mappings. Zbl 0593.28009Polovinkin, E. S. 14 1983 A simple quasi-linear pursuit problem. Zbl 0468.90097Gusyatnikov, P. B.; Polovinkin, E. S. 4 1980 On two types of operators for biparametric equations. Zbl 0483.34004Gusyatnikov, P. B.; Polovinkin, E. S. 1 1980 Nonautonomous differential games. Zbl 0461.90098Polovinkin, E. S. 1 1979 Antagonistic two-person games in dynamic systems. I. Zbl 0315.90083Polovinkin, E. S. 2 1975 Riemannian integral of set-valued function. Zbl 0321.49021Polovinkin, E. S. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 197 Authors 23 Balashov, Maxim Viktorovich 13 Polovinkin, Evgenii Sergeevich 11 Dudov, Sergeĭ Ivanovich 10 Dshalalow, Jewgeni H. 10 Ivanov, Grigorii E. 10 Ushakov, Vladimir Nikolaevich 8 Osiptsev, Mikhaĭl Anatol’evich 6 Nikodem, Kazimierz 5 Ershov, Aleksandr Anatol’evich 5 Repovš, Dušan D. 4 Kurzhanskiĭ, Aleksandr Borisovich 4 Orlov, Igor Vladimirovich 4 Patsko, Valerii S. 4 Plotnikov, Andreĭ Viktorovich 3 Dolgopolik, Maxim Vladimirovich 3 Ibragimov, Danis N. 3 Ivanov, Grigory M. 3 Karasev, Roman N. 3 Khachatryan, Rafik Agasievich 3 Komleva, Tatyana A. 3 Kumkov, Sergey S. 3 Ostapenko, V. V. 3 Sirotin, A. N. 3 Ukhobotov, Viktor Ivanovich 3 Ushakov, Andreĭ Vladimirovich 2 Daryin, Alexander N. 2 Flerov, A. A. 2 Gorokhovik, Valentin Vikent’evich 2 Hayat, Tasawar 2 Huang, Weijun 2 Ke, Hao-Jan 2 Klaričić Bakula, Milica 2 Lanzani, Loredana 2 Martini, Horst 2 Matviĭchuk, Aleksandr Rostislavovich 2 Merentes, Nelson J. 2 Meshcheryakova, E. A. 2 Mordukhovich, Boris S. 2 Moreno, José-Pedro 2 Nikol’skiĭ, Mikhaĭl Sergeevich 2 Olbryś, Andrzej 2 Papini, Pier Luigi 2 Sakbaev, Vsevolod Zhanovich 2 Schneider, Rolf G. 2 Shehzad, Sabir Ali 2 Shirokov, Maksim Evgen’evich 2 Skripnik, Natalia Viktorovna 2 Thibault, Lionel 2 Tomskij, G. V. 1 Abramova, Veronika Valer’evna 1 Adamek, Mirosław 1 Ahmed, Nasir Uddin 1 Al-Matar, Najeeb 1 Alimov, Alexey R. 1 Al-saedi, Ahmed Eid Salem 1 Anh, Nguyen Thi Van 1 Artstein, Zvi 1 Arutyunov, Aram Vladimirovic 1 Aseev, Sergei M. 1 Asghar, Saleem 1 Ashraf, M. Bilal 1 Avkhadiev, Farit Gabidinovich 1 Azamov, Abdulla Azamovich 1 Babenko, Viktor V. 1 Babenko, Vladyslav Fedorovych 1 Baran, I. V. 1 Barrett, David E. 1 Batishchev, V. A. 1 Bednov, Borislav Borisovich 1 Birindelli, Isabeau 1 Bogdanov, Ilya I. 1 Borisovich, Yuriĭ Grigor’evich 1 Bui, Vuong 1 Castaing, Charles 1 Cellina, Arrigo 1 Druzhinin, Yu. Yu. 1 Dudova, A. S. 1 Efremov, Roman V. 1 Feng, Mengjie 1 Galise, Giulio 1 Galkin, Oleg Evgen’evich 1 Galkina, Svetlana Yur’evna 1 Gamkrelidze, Revaz Valerianovich 1 Ganebny, Sergei A. 1 Gel’man, Boris Danielovich 1 Ger, Roman 1 Golubev, Maxim O. 1 Gomoyunov, Mikhail Igorevich 1 Goncharov, Vladimir V. 1 Grabovoj, I. P. 1 Graf, Sergey Yu. 1 Grigorenko, Nikolaĭ Leont’evich 1 Grzybowski, Jerzy 1 Gudovich, Anastasia Nikolaevna 1 Gusejnov, Kh. G. 1 Gusyatnikov, P. B. 1 Kholevo, Aleksandr Semënovich 1 Holmsen, Andreas F. 1 Ioffe, Alexander Davidovich 1 Ishii, Hitoshi ...and 97 more Authors all top 5 Cited in 75 Serials 21 Mathematical Notes 19 Journal of Mathematical Sciences (New York) 14 Proceedings of the Steklov Institute of Mathematics 13 Journal of Mathematical Analysis and Applications 8 Journal of Convex Analysis 7 Computational Mathematics and Mathematical Physics 6 Journal of Applied Mathematics and Mechanics 5 Russian Mathematics 4 Ukrainian Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Sbornik: Mathematics 3 Cybernetics 3 Discrete & Computational Geometry 3 Computational Mathematics and Modeling 3 Aequationes Mathematicae 3 Automation and Remote Control 3 NoDEA. Nonlinear Differential Equations and Applications 3 Differential Equations 2 Advances in Mathematics 2 Moscow University Computational Mathematics and Cybernetics 2 Optimization 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Cybernetics and Systems Analysis 2 Journal of Computer and Systems Sciences International 2 Set-Valued Analysis 2 Topological Methods in Nonlinear Analysis 2 St. Petersburg Mathematical Journal 2 Set-Valued and Variational Analysis 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Nonlinear Analysis. Theory, Methods & Applications 2 Vestnik Rossiĭskikh Universitetov. Matematika 1 Israel Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Prikladnaya Matematika i Mekhanika 1 Theory of Probability and its Applications 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Mathematika 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Inequalities and Applications 1 Journal of Applied Mechanics and Technical Physics 1 Mathematical Inequalities & Applications 1 International Game Theory Review 1 Stochastic Models 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Nonlinear Oscillations 1 Optimization Letters 1 Nonlinear Analysis. Hybrid Systems 1 Asian-European Journal of Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 Dynamic Games and Applications 1 Afrika Matematika 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Problemy Analiza. Issues of Analysis all top 5 Cited in 38 Fields 59 Calculus of variations and optimal control; optimization (49-XX) 45 Convex and discrete geometry (52-XX) 35 Functional analysis (46-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Operations research, mathematical programming (90-XX) 26 Real functions (26-XX) 24 Ordinary differential equations (34-XX) 24 Systems theory; control (93-XX) 21 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 10 General topology (54-XX) 9 Difference and functional equations (39-XX) 8 Probability theory and stochastic processes (60-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Partial differential equations (35-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year