Topological properties of prolongations and stable sets for semigroup actions

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorRocha, Victor H. L. [UNESP]-
Autor(es): dc.creatorReis, Ronan A. [UNESP]-
Data de aceite: dc.date.accessioned2022-02-22T00:58:29Z-
Data de disponibilização: dc.date.available2022-02-22T00:58:29Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-03-15-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.topol.2021.107611-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/210077-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/210077-
Descrição: dc.descriptionIn 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.-
Descrição: dc.descriptionUniv Estadual Paulista, Dept Matemat & Comp, R Roberto Simonsen 305, BR-19060080 Presidente Prudente, SP, Brazil-
Descrição: dc.descriptionUniv Estadual Paulista, Dept Matemat & Comp, R Roberto Simonsen 305, BR-19060080 Presidente Prudente, SP, Brazil-
Formato: dc.format22-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier B.V.-
Relação: dc.relationTopology And Its Applications-
???dc.source???: dc.sourceWeb of Science-
Palavras-chave: dc.subjectLyapunov stability-
Palavras-chave: dc.subjectAsymptotical stability-
Palavras-chave: dc.subjectConnected components-
Palavras-chave: dc.subjectProlongations-
Palavras-chave: dc.subjectSemigroup actions-
Título: dc.titleTopological properties of prolongations and stable sets for semigroup actions-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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