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arXiv · 2302.05821

On discontinuous differential equations and the method of solution-regions

Jorge Rodríguez-López
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Abstract

We adapt the method of solution regions to prove new existence and localization results for systems of discontinuous differential equations. Some assumptions concerning the definition of a solution region are relaxed and thus our results enlarge the applicability of this method even in the case of Carath\'eodory nonlinearities. Several examples are provided to illustrate the theory.

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Jorge Rodríguez-López. 2023-02-12. On discontinuous differential equations and the method of solution-regions. https://arxiv.org/abs/2302.05821

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