Existence of solutions for discontinuous differential equations

zbMath0824.34003MaRDI QIDQ1891584

Daniel C. Biles

Publication date: 9 November 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

initial value problemexistence of Carathéodory solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

Related Items (13)

Fixed point theorems in partially ordered topological spaces with applications ⋮ On Carathéodory’s conditions for the initial value problem ⋮ A survey of recent results for the generalizations of ordinary differential equations ⋮ Discontinuous first-order functional boundary value problems ⋮ Peano's theorem for implicit differential equations ⋮ On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations ⋮ On the Cauchy problem for first order discontinuous ordinary differential equations ⋮ A new approximation scheme for first-order ordinary differential equations with non-negative right-hand sides ⋮ Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms ⋮ Existence of solutions for a class of discontinuous differential equations in \(\mathbb{R}^n\) ⋮ Solvability of a finite or infinite system of discontinuous quasimonotone differential equations ⋮ On first-order ordinary differential equations with nonnegative right-hand sides ⋮ A discontinuous functional differential equation

This page was built for publication: Existence of solutions for discontinuous differential equations