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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 238–246 (Mi timm1130)  
This article is cited in 2 scientific papers (total in 2 papers)

On the weak polar cone of the solution set of a differential inclusion with conic graph

E. S. Polovinkin

Moscow Institute of Physics and Technology (State University)
Full-text PDF (176 kB) Citations (2)
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Abstract: A differential inclusion with values in a reflexive Banach space such that its right-hand side is at each time a convex closed cone is considered. The form of the weak polar cone of the cone of strongly bounded solutions to the Cauchy problem for this inclusion is found. A solution is called strongly bounded if it is an absolutely continuous function (in a wide sense) and its derivative is essentially bounded.
Keywords: polar cone, multivalued mapping, differential inclusion, convex process.
Received: 03.06.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 292, Issue 1, Pages 253–261
DOI: https://doi.org/10.1134/S008154381602022X
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: E. S. Polovinkin, “On the weak polar cone of the solution set of a differential inclusion with conic graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 238–246; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 253–261
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/timm1130
  • https://www.mathnet.ru/eng/timm/v20/i4/p238
    • This publication is cited in the following 2 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. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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