Existence of solutions for a class of discontinuous differential equations in \(\mathbb{R}^n\)

DOI10.1006/jmaa.1999.6324zbMath0930.34005OpenAlexW2074367168MaRDI QIDQ1290963

Witold Rzymowski

Publication date: 16 February 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6324

zbMATH Keywords

Cauchy problemabsolutely continuous solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Discontinuous ordinary differential equations (34A36)

Related Items

Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan-Shen transversality conditions, Fixed point theorems in partially ordered topological spaces with applications, Non-autonomous scalar discontinuous ordinary differential equation

Cites Work

• The differential equation x=fox
• Existence of solutions for discontinuous differential equations
• Unique Solutions for a Class of Discontinuous Differential Equations
• Extremal solutions of a discontinuous scalar differential equation
• Uniqueness for discontinuous ODE and conservation laws