Continuous dependence of nonmonotonic discontinuous differential equations

Author:
Daniel C. Biles

Journal:
Trans. Amer. Math. Soc. **339** (1993), 507-524

MSC:
Primary 34A34

MathSciNet review:
1126212

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Abstract: Continuous dependence of solutions for a class of nonmonotonic, discontinuous differential equations is studied. First, a local existence theorem due to . Wu is extended to a larger class. Then, a result concerning continuous dependence for this larger class is proven. This employs a type of convergence similar to Gihman's Convergence Criterion, which is defined to be

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1993-1126212-0

Keywords:
Ordinary differential equations,
continuous dependence,
local existence

Article copyright:
© Copyright 1993
American Mathematical Society