Ordinary differential equations and systems with time-dependent discontinuity sets

J. Ángel Cid; Rodrigo L. Pouso

doi:10.1017/S0308210500003383

Abstract

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In this paper we prove new existence results for non-autonomous systems of first order ordinary differential equations under weak conditions on the nonlinear part. Discontinuities with respect to the unknown are allowed to occur over general classes of time-dependent sets which are assumed to satisfy a kind of inverse viability condition.

Crossref Citations

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Ordinary differential equations and systems with time-dependent discontinuity sets

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