Differential and Integral Equations

Existence of solutions for discontinuous differential equations

Daniel C. Biles

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Existence of solutions to initial value problems involving a discontinuous differential equation is studied. Under fairly weak conditions, existence of Carathéodory solutions is proven. Comparisons to theorems in the literature are given and motivation for the result is also discussed.

Article information

Differential Integral Equations, Volume 8, Number 6 (1995), 1525-1532.

First available in Project Euclid: 15 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
Secondary: 34A34: Nonlinear equations and systems, general


Biles, Daniel C. Existence of solutions for discontinuous differential equations. Differential Integral Equations 8 (1995), no. 6, 1525--1532. https://projecteuclid.org/euclid.die/1368638179

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