Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set

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dc.contributor.author	Vilches, E
dc.date.accessioned	2024-01-17T15:54:28Z
dc.date.available	2024-01-17T15:54:28Z
dc.date.issued	2019
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/509
dc.description.abstract	The aim of this paper is to prove existence results for a class of sweeping processes in Hilbert spaces by using the catching-up algorithm. These processes are governed by ball-compact non autonomous sets. Moreover, a full characterization of nonsmooth Lyapunov pairs is obtained under very general hypotheses. We also provide a criterion for weak invariance. Some applications to hysteresis and crowd motion are given.
dc.description.sponsorship	CONICYT-PCHA/Doctorado
dc.relation.uri	http://dx.doi.org/10.1007/s11228-018-0480-9
dc.subject	Sweeping process
dc.subject	Lyapunov pair
dc.subject	Differential inclusions
dc.subject	Invariance
dc.subject	Normal cone
dc.title	Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set
dc.type	Artículo
uoh.revista	SET-VALUED AND VARIATIONAL ANALYSIS
dc.identifier.doi	10.1007/s11228-018-0480-9
dc.citation.volume	27
dc.citation.issue	2
dc.identifier.orcid	Vilches, Emilio/0000-0002-4387-9313
uoh.indizacion	Web of Science