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 507 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, Anatoliĭ 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 331 times in 236 Documents Cited by ▼ Year ▼ Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028 Polovinkin, E. S.; Balashov, M. V. 80 2007 Strongly convex analysis. Zbl 0869.52002 Polovinkin, E. S. 54 1996 \(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014 Balashov, M. V.; Polovinkin, E. S. 41 2000 An approach to the differentiation of many-valued mappings, and necessary optimality conditions for optimization of solutions of differential inclusions. Zbl 0604.49011 Polovinkin, E. S.; Smirnov, G. V. 16 1986 An algorithm for the numerical solution of linear differential games. Zbl 1128.91305 Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V. 14 2001 The integration of multivalued mappings. Zbl 0593.28009 Polovinkin, E. S. 14 1983 Mathematical simulation of a dynamic game in the enterprise competition problem. Zbl 1132.91355 Konstantinov, R. V.; Polovinkin, E. S. 10 2004 Stability of terminal sets and optimization of pursuit time in differential games. Zbl 0567.90110 Polovinkin, E. S. 10 1984 On a time-optimal control problem for differential inclusions. Zbl 0611.49025 Polovinkin, E. S.; Smirnov, G. V. 8 1986 Differential inclusions with measurable-pseudo-Lipschitz right-hand side. Zbl 1294.34015 Polovinkin, E. S. 7 2013 On strongly convex differential games. Zbl 0867.90139 Ivanov, G. E.; Polovinkin, E. S. 7 1995 Differentiation of multivalued mappings and properties of solutions of differential inclusions. Zbl 0659.34013 Polovinkin, E. S.; Smirnov, G. V. 6 1986 The properties of continuity and differentiation of solution sets of Lipschitzean differential inclusions. Zbl 0742.34017 Polovinkin, E. S. 6 1991 On strongly convex sets and strongly convex functions. Zbl 0983.52001 Polovinkin, E. S. 5 1999 Necessary conditions for an optimization problem with a differential inclusion. Zbl 0877.49021 Polovinkin, E. S. 5 1995 On the weak polar cone of the solution set of a differential inclusion with conic graph. Zbl 1345.49017 Polovinkin, E. S. 5 2016 Convex bodies of constant width. Zbl 1378.52007 Polovinkin, E. S. 5 2004 A simple quasi-linear pursuit problem. Zbl 0468.90097 Gusyatnikov, P. B.; Polovinkin, E. S. 4 1980 On the calculation of the polar cone of the solution set of a differential inclusion. Zbl 1311.34138 Polovinkin, E. S. 4 2012 Differential inclusions with unbounded right-hand side and necessary optimality conditions. Zbl 1336.49030 Polovinkin, E. S. 4 2015 Necessary conditions for optimization problems with differential inclusions. Zbl 0796.49023 Polovinkin, E. S. 3 1993 Second-order convergence of an algorithm calculating the value of linear differential games. Zbl 0876.90110 Ivanov, G. E.; Polovinkin, E. S. 3 1995 Riemannian integral of set-valued function. Zbl 0321.49021 Polovinkin, E. S. 3 1975 Antagonistic two-person games in dynamic systems. I. Zbl 0315.90083 Polovinkin, E. S. 2 1975 On the construction of bodies of constant width containing a given set. Zbl 1228.52004 Polovinkin, E. S. 2 2010 On continuous variations of trajectories of differential inclusion with unbounded right-hand side. Zbl 1443.34023 Polovinkin, Evgenii S. 2 2020 On convex and strongly convex approximations of sets. Zbl 0894.46008 Polovinkin, E. S. 2 1996 A generalization of the set averaging theorem. Zbl 1267.26010 Ivanov, G. M.; Polovinkin, E. S. 2 2012 A generalization of theorems of Carathéodory and Krein-Mil’man for strongly convex sets. Zbl 0970.52006 Polovinkin, E. S. 1 1997 Nonautonomous differential games. Zbl 0461.90098 Polovinkin, E. S. 1 1979 On two types of operators for biparametric equations. Zbl 0483.34004 Gusyatnikov, P. B.; Polovinkin, E. S. 1 1980 Subdifferentials for the difference of two convex functions. Zbl 1353.49024 Polovinkin, E. S. 1 2016 On some properties of vector measures. Zbl 1423.28034 Polovinkin, E. S. 1 2018 Pontryagin’s direct method for optimization problems with differential inclusion. Zbl 1420.49020 Polovinkin, E. S. 1 2019 Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space. Zbl 1454.90107 Dudov, S. I.; Polovinkin, E. S.; Abramova, V. V. 1 2020 On continuous variations of trajectories of differential inclusion with unbounded right-hand side. Zbl 1443.34023 Polovinkin, Evgenii S. 2 2020 Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space. Zbl 1454.90107 Dudov, S. I.; Polovinkin, E. S.; Abramova, V. V. 1 2020 Pontryagin’s direct method for optimization problems with differential inclusion. Zbl 1420.49020 Polovinkin, E. S. 1 2019 On some properties of vector measures. Zbl 1423.28034 Polovinkin, E. S. 1 2018 On the weak polar cone of the solution set of a differential inclusion with conic graph. Zbl 1345.49017 Polovinkin, E. S. 5 2016 Subdifferentials for the difference of two convex functions. Zbl 1353.49024 Polovinkin, E. S. 1 2016 Differential inclusions with unbounded right-hand side and necessary optimality conditions. Zbl 1336.49030 Polovinkin, E. S. 4 2015 Differential inclusions with measurable-pseudo-Lipschitz right-hand side. Zbl 1294.34015 Polovinkin, E. S. 7 2013 On the calculation of the polar cone of the solution set of a differential inclusion. Zbl 1311.34138 Polovinkin, E. S. 4 2012 A generalization of the set averaging theorem. Zbl 1267.26010 Ivanov, G. M.; Polovinkin, E. S. 2 2012 On the construction of bodies of constant width containing a given set. Zbl 1228.52004 Polovinkin, E. S. 2 2010 Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028 Polovinkin, E. S.; Balashov, M. V. 80 2007 Mathematical simulation of a dynamic game in the enterprise competition problem. Zbl 1132.91355 Konstantinov, R. V.; Polovinkin, E. S. 10 2004 Convex bodies of constant width. Zbl 1378.52007 Polovinkin, E. S. 5 2004 An algorithm for the numerical solution of linear differential games. Zbl 1128.91305 Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V. 14 2001 \(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014 Balashov, M. V.; Polovinkin, E. S. 41 2000 On strongly convex sets and strongly convex functions. Zbl 0983.52001 Polovinkin, E. S. 5 1999 A generalization of theorems of Carathéodory and Krein-Mil’man for strongly convex sets. Zbl 0970.52006 Polovinkin, E. S. 1 1997 Strongly convex analysis. Zbl 0869.52002 Polovinkin, E. S. 54 1996 On convex and strongly convex approximations of sets. Zbl 0894.46008 Polovinkin, E. S. 2 1996 On strongly convex differential games. Zbl 0867.90139 Ivanov, G. E.; Polovinkin, E. S. 7 1995 Necessary conditions for an optimization problem with a differential inclusion. Zbl 0877.49021 Polovinkin, E. S. 5 1995 Second-order convergence of an algorithm calculating the value of linear differential games. Zbl 0876.90110 Ivanov, G. E.; Polovinkin, E. S. 3 1995 Necessary conditions for optimization problems with differential inclusions. Zbl 0796.49023 Polovinkin, E. S. 3 1993 The properties of continuity and differentiation of solution sets of Lipschitzean differential inclusions. Zbl 0742.34017 Polovinkin, E. S. 6 1991 An approach to the differentiation of many-valued mappings, and necessary optimality conditions for optimization of solutions of differential inclusions. Zbl 0604.49011 Polovinkin, E. S.; Smirnov, G. V. 16 1986 On a time-optimal control problem for differential inclusions. Zbl 0611.49025 Polovinkin, E. S.; Smirnov, G. V. 8 1986 Differentiation of multivalued mappings and properties of solutions of differential inclusions. Zbl 0659.34013 Polovinkin, E. S.; Smirnov, G. V. 6 1986 Stability of terminal sets and optimization of pursuit time in differential games. Zbl 0567.90110 Polovinkin, E. S. 10 1984 The integration of multivalued mappings. Zbl 0593.28009 Polovinkin, E. S. 14 1983 A simple quasi-linear pursuit problem. Zbl 0468.90097 Gusyatnikov, P. B.; Polovinkin, E. S. 4 1980 On two types of operators for biparametric equations. Zbl 0483.34004 Gusyatnikov, P. B.; Polovinkin, E. S. 1 1980 Nonautonomous differential games. Zbl 0461.90098 Polovinkin, E. S. 1 1979 Riemannian integral of set-valued function. Zbl 0321.49021 Polovinkin, E. S. 3 1975 Antagonistic two-person games in dynamic systems. I. Zbl 0315.90083 Polovinkin, E. S. 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 239 Authors 27 Balashov, Maxim Viktorovich 15 Polovinkin, Evgenii Sergeevich 15 Ushakov, Vladimir Nikolaevich 12 Dudov, Sergeĭ Ivanovich 11 Ivanov, Grigorii E. 10 Dshalalow, Jewgeni H. 8 Osiptsev, Mikhaĭl Anatol’evich 7 Ershov, Aleksandr Anatol’evich 7 Nikodem, Kazimierz 5 Patsko, Valerii S. 5 Repovš, Dušan D. 4 Kumkov, Sergey S. 4 Kurzhanskiĭ, Aleksandr Borisovich 4 Orlov, Igor Vladimirovich 4 Plotnikov, Andreĭ Viktorovich 4 Ukhobotov, Viktor Ivanovich 4 Ushakov, Andreĭ Vladimirovich 3 Dolgopolik, Maxim Vladimirovich 3 Ibragimov, Danis N. 3 Ivanov, Grigory M. 3 Karasev, Roman N. 3 Khachatryan, Rafik Agasievich 3 Klaričić Bakula, Milica 3 Komleva, Tatyana A. 3 Martini, Horst 3 Matviĭchuk, Aleksandr Rostislavovich 3 Ostapenko, V. V. 3 Ruan, Jianmiao 3 Shehzad, Sabir Ali 3 Sirotin, A. N. 3 Thibault, Lionel 3 Tremba, Andrey Aleksandrovich 2 Abramova, Veronika Valer’evna 2 Adamek, Mirosław 2 Biglov, K. Z. 2 Daryin, Alexander N. 2 Dudova, A. S. 2 Flerov, A. A. 2 Galkin, Oleg Evgen’evich 2 Galkina, Svetlana Yur’evna 2 Gorokhovik, Valentin Vikent’evich 2 Gusejnov, Kh. G. 2 Hayat, Tasawar 2 Huang, Weijun 2 Ke, Hao-Jan 2 Lanzani, Loredana 2 Merentes, Nelson J. 2 Meshcheryakova, E. A. 2 Minchenko, Leonid Ivanovich 2 Mordukhovich, Boris S. 2 Moreno, José-Pedro 2 Nikol’skiĭ, Mikhaĭl Sergeevich 2 Olbryś, Andrzej 2 Papini, Pier Luigi 2 Sadowski, Jacek Józef 2 Sakbaev, Vsevolod Zhanovich 2 Schneider, Rolf G. 2 Shirokov, Maksim Evgen’evich 2 Skripnik, Natalia Viktorovna 2 Stonyakin, Fedor Sergeevich 2 Taras’ev, Aleksandr Mikhaĭlovich 2 Tomskij, G. V. 2 Xing, Yi 1 Abernethy, Jacob D. 1 Ablaev, Seydamet S. 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 Basit, Bushra 1 Batishchev, V. A. 1 Bednov, Borislav Borisovich 1 Beznosikov, A. N. 1 Birindelli, Isabeau 1 Bogdanov, Ilya I. 1 Borisovich, Yuriĭ Grigor’evich 1 Bui, Vuong 1 Cabot, A. 1 Campiti, Michele 1 Castaing, Charles 1 Cellina, Arrigo 1 Druzhinin, Yu. Yu. 1 Dvinskikh, D. M. 1 Efremov, Roman V. 1 Feng, Mengjie 1 Galise, Giulio 1 Gamkrelidze, Revaz Valerianovich 1 Ganebny, Sergei A. ...and 139 more Authors all top 5 Cited in 83 Serials 22 Mathematical Notes 19 Journal of Mathematical Sciences (New York) 15 Proceedings of the Steklov Institute of Mathematics 14 Journal of Mathematical Analysis and Applications 10 Journal of Convex Analysis 9 Computational Mathematics and Mathematical Physics 8 Sbornik: Mathematics 7 Journal of Applied Mathematics and Mechanics 6 Russian Mathematics 6 Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Ukrainian Mathematical Journal 4 Discrete & Computational Geometry 4 Automation and Remote Control 3 Cybernetics 3 Computational Mathematics and Modeling 3 Aequationes Mathematicae 3 NoDEA. Nonlinear Differential Equations and Applications 3 Doklady Mathematics 3 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 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 Mathematical Inequalities & Applications 2 Journal of Mathematical Inequalities 2 Set-Valued and Variational Analysis 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 2 Nonlinear Analysis. Theory, Methods & Applications 2 Vestnik Rossiĭskikh Universitetov. Matematika 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Prikladnaya Matematika i Mekhanika 1 Theory of Probability and its Applications 1 Information Sciences 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 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Mathematical Problems in Engineering 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 Fractional Calculus & Applied Analysis 1 International Game Theory Review 1 Stochastic Models 1 Doklady Natsional’noĭ Akademii Nauk Belarusi 1 Nonlinear Oscillations 1 Optimization Letters 1 Chinese Journal of Physics (Taipei) 1 Nonlinear Analysis. Hybrid Systems 1 Banach Journal of Mathematical Analysis 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 Journal of Applied Analysis and Computation 1 Problemy Analiza. Issues of Analysis all top 5 Cited in 39 Fields 68 Calculus of variations and optimal control; optimization (49-XX) 50 Convex and discrete geometry (52-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Functional analysis (46-XX) 33 Real functions (26-XX) 32 Operations research, mathematical programming (90-XX) 30 Systems theory; control (93-XX) 29 Ordinary differential equations (34-XX) 22 Approximations and expansions (41-XX) 13 Operator theory (47-XX) 11 Difference and functional equations (39-XX) 11 General topology (54-XX) 9 Probability theory and stochastic processes (60-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-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 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 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year