Ordinary differential equations with a non-Lipschitz right-hand side

DOI10.1134/S1064562412040382zbMath1264.34017OpenAlexW2083302856MaRDI QIDQ1761076

O. È. Zubelevich

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412040382

zbMATH Keywords

Cauchy problemnon-uniquenessnon-Lipschitz nonlinearityIVPPeano existence theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Cites Work

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• Ordinary differential equations, transport theory and Sobolev spaces
• Peano's theorem in Banach spaces
• Systems of differential equations with nonunique solutions to the Cauchy problem
• On dichotomies for solutions of \(n\)-th order linear differential equations
• Kamke's Uniqueness Theorem

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