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A comparison of the Carathéodory and Filippov solution sets

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Publication:1916800
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DOI10.1006/jmaa.1996.0099zbMath0854.34012OpenAlexW2052032282MaRDI QIDQ1916800

John S. Spraker, Daniel C. Biles

Publication date: 29 August 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0099


zbMATH Keywords

Filippov solutionCarathéodory solution


Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60)


Related Items (5)

Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions ⋮ Simultaneous small noise limit for singularly perturbed slow-fast coupled diffusions ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Dynamical Behaviors of Delayed Neural Network Systems with Discontinuous Activation Functions ⋮ Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms




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