A differential equation approach to implicit sweeping processes

UOH Academic Repository

dc.contributor.author	Jourani, A
dc.contributor.author	Vilches, E
dc.date.accessioned	2024-01-17T15:53:53Z
dc.date.available	2024-01-17T15:53:53Z
dc.date.issued	2019
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/269
dc.description.abstract	In this paper, we study an implicit version of the sweeping process. Based on methods of convex analysis, we prove the equivalence of the implicit sweeping process with a differential equation, which enables us to show the existence and uniqueness of the solution to the implicit sweeping process in a very general framework. Moreover, this equivalence allows us to give a characterization of nonsmooth Lyapunov pairs and invariance for implicit sweeping processes. The results of the paper are illustrated with two applications to quasistatic evolution variational inequalities and electrical circuits. (C) 2018 Elsevier Inc. All rights reserved.
dc.description.sponsorship	Conicyt(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT))
dc.relation.uri	http://dx.doi.org/10.1016/j.jde.2018.10.024
dc.subject	Moreau's sweeping process
dc.subject	Evolution variational inequality
dc.subject	Nonsmooth Lyapunov pairs
dc.title	A differential equation approach to implicit sweeping processes
dc.type	Artículo
uoh.revista	JOURNAL OF DIFFERENTIAL EQUATIONS
dc.identifier.doi	10.1016/j.jde.2018.10.024
dc.citation.volume	266
dc.citation.issue	8
dc.identifier.orcid	Vilches, Emilio/0000-0002-4387-9313
uoh.indizacion	Web of Science