Russian Academy of Sciences. Sbornik. Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 88 scientific papers (total in 88 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 (88) Russian version article
References:
PDF
HTML
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
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”, Russian Acad. Sci. Sb. Math., 83:2 (1995), 383–403
Citation in format AMSBIB
\Bibitem{Fil94}
\by V.~V.~Filippov
\paper On the theory of the Cauchy problem for an~ordinary differential equation with discontinuous right-hand side
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 83
\issue 2
\pages 383--403
\mathnet{http://mi.mathnet.ru/eng/sm942}
\crossref{https://doi.org/10.1070/SM1995v083n02ABEH003597}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1310981}
\zmath{https://zbmath.org/?q=an:0841.34001|0837.34009}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ10300007}
Linking options:
  • https://www.mathnet.ru/eng/sm942
  • https://doi.org/10.1070/SM1995v083n02ABEH003597
  • https://www.mathnet.ru/eng/sm/v185/i11/p95
    • This publication is cited in the following 88 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025