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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 283, Pages 121–141
DOI: https://doi.org/10.1134/S0371968513040092 (Mi tm3505) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Differential inclusions with measurable-pseudo-Lipschitz right-hand side

E. S. Polovinkin

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia
Full-text PDF (296 kB) Citations (11)
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DOI: https://doi.org/10.1134/S0371968513040092
Abstract: We obtain existence theorems and Filippov–Ważewski type relaxation theorems for differential inclusions in Banach spaces with measurable-pseudo-Lipschitz right-hand side. For the solution sets of these differential inclusions, we also describe some properties that extend classical theorems on continuous dependence and on differentiation of solutions with respect to initial data.
Received in November 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 283, Pages 116–135
DOI: https://doi.org/10.1134/S0081543813080099
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. S. Polovinkin, “Differential inclusions with measurable-pseudo-Lipschitz right-hand side”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 121–141; Proc. Steklov Inst. Math., 283 (2013), 116–135
Citation in format AMSBIB
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\by E.~S.~Polovinkin
\paper Differential inclusions with measurable-pseudo-Lipschitz right-hand side
\inbook Function theory and equations of mathematical physics
\bookinfo Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth
\serial Trudy Mat. Inst. Steklova
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\vol 283
\pages 121--141
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 11 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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