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Polovinkin Evgenii Sergeevich
Polovinkin Evgenii Sergeevich
Professor
Doctor of physico-mathematical sciences (1987)

Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 1.08.1946
E-mail:
Keywords: optimal control, differential games, convex analysis, strongly convex analysis, differential inclusion, set-valued analysis, nonsmooth analysis.

Subject:

optimal control, differential games, convex analysis, nonsmooth analysis, set-valued maps


Main publications:
  1. E. S. Polovinkin, “On the calculation of the polar cone of the solution set of a differential inclusion”, Proc. Steklov Inst. Math., 278 (2012), 169–178  mathnet  crossref  mathscinet  isi  elib  elib  scopus
  2. E. S. Polovinkin, “O nekotorykh svoistvakh proizvodnykh mnogoznachnykh otobrazhenii”, Trudy MFTI, 4:4 (2012), 141–154 http://mipt.ru/science/trudy/trudy_mipt_16/f_gier-arphcxl1tgs  elib
  3. G. Ivanov, E. S. Polovinkin, “A Generalization of the Set Averaging Theorem”, Math. Notes, 92:3 (2012), 369–374  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
  4. E. S. Polovinkin, “Teorema suschestvovaniya reshenii differentsialnogo vklyucheniya s psevdo-lipshitsevoi pravoi chastyu”, Nelineinyi mir, 10:9 (2012), 571–578  elib
  5. E. S. Polovinkin, “Integrirovanie po Rimanu mnogoznachnykh otobrazhenii”, Trudy MFTI, 3:1 (2011), 117–126 http://mipt.ru/science/trudy/trudy-9/Pages_from_117-126-arphcxl1tgs.pdf  elib
  6. E. S. Polovinkin, “On construction of bodies of constant width containing a given set”, Proc. Inst. Math. Mech., 269, suppl. 1 (2010), S247–S257  mathnet  crossref  elib  scopus
  7. E. S. Polovinkin, M. V. Balashov, Elementy vypuklogo i silno vypuklogo analiza, 2-e izd., Fizmatlit, Moskva, 2007 , 440 pp., (1-e izd. 2004)
  8. V. K. Zakharov, E. S. Polovinkin, A. D. Yashin, “Matematicheskaya model gosudarstva”, DAN, 413:2 (2007), 158–162  mathnet  zmath  elib
  9. E. S. Polovinkin, S. V. Sidenko, “The addition of subsets to constant width bodies”, Physics and mathematics, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148, no. 2, Kazan University, Kazan, 2006, 132–143  mathnet  zmath
  10. E. S. Polovinkin, “O telakh postoyannoi shiriny”, DAN, 397:3 (2004), 313–315  mathnet  mathscinet  zmath
  11. E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev, “An algorithm for the numerical solution of linear differential games”, Sb. Math., 192:10 (2001), 1515–1542  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  12. M. V. Balashov, E. S. Polovinkin, “$M$-strongly convex subsets and their generating sets”, Sb. Math., 191:1 (2000), 25–60  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  13. E. S. Polovinkin, “On strongly convex sets and strongly convex functions”, J. Math. Sci. (New York), 100:6 (2000), 2633–2681  mathnet  crossref  mathscinet  zmath  scopus
  14. E. S. Polovinkin, “Obobschenie teorem Karateodori i Kreina-Milmana dlya silno vypuklykh mnozhestv”, DAN, 355:2 (1997), 164–166  mathnet  mathscinet  zmath
  15. E. S. Polovinkin, “Strongly convex analysis”, Sb. Math., 187:2 (1996), 259–286  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  16. E. S. Polovinkin, “O vypuklykh i silno vypuklykh approksimatsiyakh mnozhestv”, DAN, 350:3 (1996), 308–311  mathnet  mathscinet  zmath
  17. E. S. Polovinkin, “Necessary conditions for an optimization problem with a differential inclusion”, Proc. Steklov Inst. Math., 211 (1995), 350–361  mathnet  mathscinet  zmath
  18. G. E. Ivanov, E. S. Polovinkin, “On strongly convex differential games”, Differ. Equ., 31:10 (1995), 1603–1612  mathnet  mathscinet  zmath
  19. G. E. Ivanov, E. S. Polovinkin, “Second-order convergence of an algorithm calculating the value of linear differential games”, Dokl. Math., 51:1 (1995), 29–32  mathnet  mathscinet  zmath
  20. E. S. Polovinkin, G. V. Smirnov, “Differentiation of multivalued mappings and properties of solutions of differential inclusions”, Dokl. Math., 33 (1986), 662–666  mathnet  mathscinet  zmath
  21. E. S. Polovinkin, G. V. Smirnov, Differ. Equ., 22 (1986), 660–668  mathnet  mathscinet  zmath
  22. E. S. Polovinkin, G. V. Smirnov, “Time-optimal problem for differential inclusions”, Differ. Equ., 22:8 (1986), 940–952  mathnet  mathscinet  zmath
  23. E. S. Polovinkin, “Stabilnost terminalnogo mnozhestva i optimalnost vremeni presledovaniya v differentsialnykh igrakh”, Differentsialnye uravneniya, 20:3 (1984), 433–446  mathnet  mathscinet  zmath
  24. P. B. Gusyatnikov, E. S. Polovinkin, “O dvukh tipakh operatorov dlya biparametricheskikh uravnenii”, DAN, 254:1 (1980), 20–24  mathnet  mathscinet  zmath
  25. E. S. Polovinkin, “Neavtonomnye differentsialnye igry”, Differentsialnye uravneniya, 15:6 (1979), 1007–1017  mathnet  mathscinet  zmath
  26. E. S. Polovinkin, “Ob antagonisticheskikh igrakh dvukh lits v dinamicheskikh sistemakh.1”, Vestnik Moskovskogo universiteta, seriya: matematika, mekhanika, 1975, no. 1, 30–36  zmath
  27. E. S. Polovinkin, “Ob antagonisticheskikh igrakh dvukh lits v dinamicheskikh sistemakh.2”, Vestnik Moskovskogo universiteta, seriya: matematika, mekhanika, 1975, no. 2, 15–21  zmath
  28. E. S. Polovinkin, Kurs lektsii po teorii funktsii kompleksnogo peremennogo, Fizmatkniga, Moskva, 2003 , 208 pp.
  29. M. I. Shabunin, M. I. Karlov, E. S. Polovinkin, Matematika. Sbornik zadach po teorii funktsii kompleksnogo peremennogo, Binom. Laboratoriya znanii, 2010 , 368 pp.

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

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