Topological properties of prolongations and stable sets for semigroup actions
| dc.contributor.author | Rocha, Victor H. L. [UNESP] | |
| dc.contributor.author | Reis, Ronan A. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2021-06-25T12:39:00Z | |
| dc.date.available | 2021-06-25T12:39:00Z | |
| dc.date.issued | 2021-03-15 | |
| dc.description.abstract | In 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.affiliation | Univ Estadual Paulista, Dept Matemat & Comp, R Roberto Simonsen 305, BR-19060080 Presidente Prudente, SP, Brazil | |
| dc.description.affiliationUnesp | Univ Estadual Paulista, Dept Matemat & Comp, R Roberto Simonsen 305, BR-19060080 Presidente Prudente, SP, Brazil | |
| dc.format.extent | 22 | |
| dc.identifier | http://dx.doi.org/10.1016/j.topol.2021.107611 | |
| dc.identifier.citation | Topology And Its Applications. Amsterdam: Elsevier, v. 291, 22 p., 2021. | |
| dc.identifier.doi | 10.1016/j.topol.2021.107611 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.uri | http://hdl.handle.net/11449/210077 | |
| dc.identifier.wos | WOS:000623100400006 | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier B.V. | |
| dc.relation.ispartof | Topology And Its Applications | |
| dc.source | Web of Science | |
| dc.subject | Lyapunov stability | |
| dc.subject | Asymptotical stability | |
| dc.subject | Connected components | |
| dc.subject | Prolongations | |
| dc.subject | Semigroup actions | |
| dc.title | Topological properties of prolongations and stable sets for semigroup actions | en |
| dc.type | Artigo | |
| dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dcterms.rightsHolder | Elsevier B.V. | |
| unesp.department | Matemática e Computação - FCT | pt |