Topological properties of prolongations and stable sets for semigroup actions

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dc.contributor.authorRocha, Victor H. L. [UNESP]
dc.contributor.authorReis, Ronan A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-06-25T12:39:00Z
dc.date.available2021-06-25T12:39:00Z
dc.date.issued2021-03-15
dc.description.abstractIn this paper we study topological properties of Lyapunov stable sets for semigroup actions on Tychonoff spaces. We show that the stability and the asymptotical stability of a compact set is characterized by the stability and the asymptotical stability of its components, respectively. We also present a characterization of the stability of a compact set by means of omega-limit sets, prolongations, prolongational limit sets and the existence of a fundamental system of invariant neighborhoods of it. (c) 2021 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat & Comp, R Roberto Simonsen 305, BR-19060080 Presidente Prudente, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat & Comp, R Roberto Simonsen 305, BR-19060080 Presidente Prudente, SP, Brazil
dc.format.extent22
dc.identifierhttp://dx.doi.org/10.1016/j.topol.2021.107611
dc.identifier.citationTopology And Its Applications. Amsterdam: Elsevier, v. 291, 22 p., 2021.
dc.identifier.doi10.1016/j.topol.2021.107611
dc.identifier.issn0166-8641
dc.identifier.urihttp://hdl.handle.net/11449/210077
dc.identifier.wosWOS:000623100400006
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofTopology And Its Applications
dc.sourceWeb of Science
dc.subjectLyapunov stability
dc.subjectAsymptotical stability
dc.subjectConnected components
dc.subjectProlongations
dc.subjectSemigroup actions
dc.titleTopological properties of prolongations and stable sets for semigroup actionsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.departmentMatemática e Computação - FCTpt

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