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.
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
\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}
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\zmath{https://zbmath.org/?q=an:0841.34001|0837.34009}
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Linking options:
https://www.mathnet.ru/eng/sm942
https://doi.org/10.1070/SM1995v083n02ABEH003597
https://www.mathnet.ru/eng/sm/v185/i11/p95
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