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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm942https://doi.org/10.1070/SM1995v083n02ABEH003597 https://www.mathnet.ru/eng/sm/v185/i11/p95
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Abstract page: | 786 | Russian version PDF: | 333 | English version PDF: | 31 | References: | 72 | First page: | 1 |
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