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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 83, Issue 2, Pages 383–403
DOI: https://doi.org/10.1070/SM1995v083n02ABEH003597 (Mi sm942) 		 
This article is cited in 84 scientific papers (total in 84 papers)

On the theory of the Cauchy problem for an ordinary differential equation with discontinuous right-hand side

V. V. Filippov
English version PDF (1169 kB) Citations (84)
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DOI: https://doi.org/10.1070/SM1995v083n02ABEH003597
Abstract: An apparatus is developed for proving theorems on the existence of a solution of the Cauchy problem and on continuous dependence of solutions on the initial conditions and parameters, applicable to situations not covered by known results on this subject.
Received: 01.04.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 11, Pages 95–118
Bibliographic databases:
UDC: 517.911
MSC: 34A12
Language: English
Original paper language: Russian
Citation: V. V. Filippov, “On the theory of the Cauchy problem for an ordinary differential equation with discontinuous right-hand side”, Mat. Sb., 185:11 (1994), 95–118; Russian Acad. Sci. Sb. Math., 83:2 (1995), 383–403
Citation in format AMSBIB
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\by V.~V.~Filippov
\paper On the theory of the Cauchy problem for an~ordinary differential equation with discontinuous right-hand side
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 11
\pages 95--118
\mathnet{http://mi.mathnet.ru/sm942}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1310981}
\zmath{https://zbmath.org/?q=an:0841.34001|0837.34009}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 83
\issue 2
\pages 383--403
\crossref{https://doi.org/10.1070/SM1995v083n02ABEH003597}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ10300007}
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  • https://doi.org/10.1070/SM1995v083n02ABEH003597
  • https://www.mathnet.ru/eng/sm/v185/i11/p95
    • This publication is cited in the following 84 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:786
    Russian version PDF:333
    English version PDF:31
    References:72
    First page:1
     
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