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Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin
September 24, 2013 16:10–17:00, Moscow, Steklov Mathematical Institute of RAS
 


Differentiation of set-valued maps and direct method for studying the problems with differential inclusions

E. S. Polovinkin
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E. S. Polovinkin


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References
  1. Aubin J.P., “Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions”, Adv. Math. Suppl. Studies, Acad. Press, New York, 1981, 160–272  mathscinet
  2. Polovinkin E.S., Teoriya mnogoznachnykh otobrazhenii, Izd-vo MFTI, M., 1983
  3. Polovinkin E.S., Balashov M.V., Elementy vypuklogo i silno vypuklogo analiza, Fizmatlit, M., 2007  zmath
  4. Polovinkin E.S., “O nekotorykh svoistvakh proizvodnykh mnogoznachnykh otobrazhenii”, Tr. MFTI, 4:4 (2012), 141–154  mathscinet
  5. Polovinkin E.S., “Teorema suschestvovaniya reshenii differentsialnogo vklyucheniya s psevdo-lipshitsevoi pravoi chastyu”, Nelineinyi mir, 10:9 (2012), 571–578
  6. Polovinkin E.S., “O vychislenii polyarnogo konusa k mnozhestvu reshenii differentsialnogo vklyucheniya”, Differentsialnye uravneniya i dinamicheskie sistemy, Tr. MIAN, 278, MAIK, M., 2012, 178–187  mathnet  mathscinet
  7. Polovinkin E.S., “Necessary Conditions for Optimization Problems with Differential Inclusion”, Set-valued Analysis and Differential Inclusions, Progress in Systems and Control Theory, 16, Birkhäuser, 1993, 157–170  mathscinet  zmath


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