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Matematicheskie Zametki, 1971, Volume 10, Issue 3, Pages 307–313 (Mi mzm9718)  
This article is cited in 38 scientific papers (total in 38 papers)

The existence of solutions of generalized differential equations

A. F. Filippov

M. V. Lomonosov Moscow State University
Full-text PDF (812 kB) Citations (38)
Abstract: The existence is proved of a solution of the equation $\dot{x}\in F(t,x)$, where $F(t,x)$ is a nonempty closed set depending continuously on $t$ and $x$, with no assumptions concerning the convexity of this set.
Received: 02.10.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 3, Pages 608–611
DOI: https://doi.org/10.1007/BF01464722
Bibliographic databases:
Document Type: Article
UDC: 517.91/4
Language: Russian
Citation: A. F. Filippov, “The existence of solutions of generalized differential equations”, Mat. Zametki, 10:3 (1971), 307–313; Math. Notes, 10:3 (1971), 608–611
Citation in format AMSBIB
\Bibitem{Fil71}
\by A.~F.~Filippov
\paper The existence of solutions of generalized differential equations
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 3
\pages 307--313
\mathnet{http://mi.mathnet.ru/mzm9718}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=298090}
\zmath{https://zbmath.org/?q=an:0254.34004}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 3
\pages 608--611
\crossref{https://doi.org/10.1007/BF01464722}
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  • https://www.mathnet.ru/eng/mzm/v10/i3/p307
    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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