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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 178–187 (Mi tm3403)  
This article is cited in 6 scientific papers (total in 6 papers)

On the calculation of the polar cone of the solution set of a differential inclusion

E. S. Polovinkin

Moscow Institute of Physics and Technology, State University, Dolgoprudnyi, Moscow oblast, Russia
Full-text PDF (193 kB) Citations (6)
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Abstract: A general form of the polar cone is obtained for the solution set of an arbitrary differential inclusion such that the graph of its right-hand side is a convex closed cone and the solutions take values in a reflexive Banach space.
Received in May 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 169–178
DOI: https://doi.org/10.1134/S008154381206017X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. S. Polovinkin, “On the calculation of the polar cone of the solution set of a differential inclusion”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 178–187; Proc. Steklov Inst. Math., 278 (2012), 169–178
Citation in format AMSBIB
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\paper On the calculation of the polar cone of the solution set of a~differential inclusion
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
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\vol 278
\pages 178--187
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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Linking options:
  • https://www.mathnet.ru/eng/tm3403
  • https://www.mathnet.ru/eng/tm/v278/p178
    • This publication is cited in the following 6 articles:
    1. E. S. Polovinkin, “Pontryagin's Direct Method for Optimization Problems with Differential Inclusion”, Proc. Steklov Inst. Math., 304 (2019), 241–256  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Polovinkin E.S., “Necessary Optimality Conditions For the Mayer Problem With Unbounded Differential Inclusion”, IFAC PAPERSONLINE, 51:32 (2018), 521–524  crossref  isi  scopus
    3. E. S. Polovinkin, “Differential inclusions with unbounded right-hand side and necessary optimality conditions”, Proc. Steklov Inst. Math., 291 (2015), 237–252  mathnet  crossref  crossref  isi  elib
    4. Evgenii S. Polovinkin, “Time Optimum Problems for Unbounded Differential Inclusion**This work was supported by the Russian Foundation for Basic Research (project nos. 13-01-00295a).”, IFAC-PapersOnLine, 48:25 (2015), 150  crossref
    5. E. S. Polovinkin, “On the weak polar cone of the solution set of a differential inclusion with conic graph”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 253–261  mathnet  crossref  mathscinet  isi  elib
    6. E. S. Polovinkin, “Differential inclusions with measurable-pseudo-Lipschitz right-hand side”, Proc. Steklov Inst. Math., 283 (2013), 116–135  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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