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Ordinary differential equations and systems with time-dependent discontinuity sets

Published online by Cambridge University Press:  12 July 2007

J. Ángel Cid  and
Rodrigo L. Pouso
J. Ángel Cid
Affiliation:
Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, [email protected]
Rodrigo L. Pouso
Affiliation:
Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, [email protected]
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Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 4 , August 2004 , pp. 617 - 637
Copyright
Copyright © Royal Society of Edinburgh 2004

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