Differential and Integral Equations
- Differential Integral Equations
- Volume 8, Number 6 (1995), 1525-1532.
Existence of solutions for discontinuous differential equations
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.
Differential Integral Equations, Volume 8, Number 6 (1995), 1525-1532.
First available in Project Euclid: 15 May 2013
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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