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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 291, Pages 249–265
DOI: https://doi.org/10.1134/S0371968515040196 (Mi tm3684) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Differential inclusions with unbounded right-hand side and necessary optimality conditions

E. S. Polovinkin

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
Full-text PDF (245 kB) Citations (5)
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DOI: https://doi.org/10.1134/S0371968515040196
Abstract: We study the properties of the trajectories of a differential inclusion with unbounded measurable–pseudo-Lipschitz right-hand side that takes values in a separable Banach space and consider the problem of minimizing a functional over the set of trajectories of such a differential inclusion on an interval. We obtain necessary optimality conditions in the form of Euler–Lagrange differential inclusions for a problem with free right end.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00295а
This work was supported by the Russian Foundation for Basic Research, project no. 13-01-00295a.
Received: January 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 291, Pages 237–252
DOI: https://doi.org/10.1134/S0081543815080192
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: E. S. Polovinkin, “Differential inclusions with unbounded right-hand side and necessary optimality conditions”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 249–265; Proc. Steklov Inst. Math., 291 (2015), 237–252
Citation in format AMSBIB
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\by E.~S.~Polovinkin
\paper Differential inclusions with unbounded right-hand side and necessary optimality conditions
\inbook Optimal control
\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 291
\pages 249--265
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968515040196}
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\jour Proc. Steklov Inst. Math.
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\pages 237--252
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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