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Bulletin of Irkutsk State University. Series Mathematics, 2010, Volume 3, Issue 2, Pages 88–102
(Mi iigum158)
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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
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.
Citation:
I. A. Finogenko, “On differential equations with discontinuous right hand part”, Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010), 88–102
Linking options:
https://www.mathnet.ru/eng/iigum158 https://www.mathnet.ru/eng/iigum/v3/i2/p88
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Abstract page: | 322 | Full-text PDF : | 334 | References: | 55 |
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