On discontinuous differential equations and the method of solution-regions
Classical Analysis and ODEs
2023-02-14 v1
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.
Cite
@article{arxiv.2302.05821,
title = {On discontinuous differential equations and the method of solution-regions},
author = {Jorge Rodríguez-López},
journal= {arXiv preprint arXiv:2302.05821},
year = {2023}
}