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Bulletin of Irkutsk State University. Series Mathematics, 2010, Volume 3, Issue 2, Pages 88–102 (Mi iigum158)  
This article is cited in 2 scientific papers (total in 2 papers)

On differential equations with discontinuous right hand part

I. A. Finogenko

Institute of System Dynamics and Control Theory SB RAS, 134, Lermontov Str., 664033
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Abstract: In the article the brief review of the basic concepts, methods and problems of the theory of the differential equations with an discontinuous right hand parts is resulted. Various ways of definitions for the right hand parts in points of discontinuous and implicit forms of record for such equations are analyzed.
Keywords: discontinuous system; differential inclusion; the generalized solution; quasi-solution; a sliding mode; right-hand Lipschitz condition.
Document Type: Article
UDC: 517.911.5
Language: Russian
Citation: I. A. Finogenko, “On differential equations with discontinuous right hand part”, Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010), 88–102
Citation in format AMSBIB
\Bibitem{Fin10}
\by I.~A.~Finogenko
\paper On differential equations with discontinuous right hand part
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2010
\vol 3
\issue 2
\pages 88--102
\mathnet{http://mi.mathnet.ru/iigum158}
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  • https://www.mathnet.ru/eng/iigum/v3/i2/p88
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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