Lyapunov stability of transformation semigroups on Hausdorff spaces
| dc.contributor.author | Rocha, Victor H. L. [UNESP] | |
| dc.contributor.author | Souza, Josiney A. | |
| dc.contributor.author | Reis, Ronan A. [UNESP] | |
| dc.date.accessioned | 2026-04-28T11:55:25Z | |
| dc.date.issued | 2025-12-02 | |
| dc.description.abstract | This manuscript defines a notion of Lyapunov stability for semigroup actions on Hausdorff spaces not requiring any metric or uniformity. It introduces a local version of stable set and shows how Lyapunov’s ideas can be generally applicable to simpler topologies. Various aspects of stability and attraction are related. | |
| dc.description.affiliation | Departamento de Matemática e Computação, Universidade Estadual Paulista, R. Roberto Simonsen, 305, 19060900, Presidente Prudente, São Paulo, Brazil | |
| dc.description.affiliation | Departamento de Matemática, Universidade Estadual de Maringá, Av. Colombo, 5790, 87020900, Maringá, Paraná, Brazil | |
| dc.description.affiliationUnesp | Departamento de Matemática e Computação, Universidade Estadual Paulista, R. Roberto Simonsen, 305, 19060900, Presidente Prudente, São Paulo, Brazil | |
| dc.identifier | https://app.dimensions.ai/details/publication/pub.1195629141 | |
| dc.identifier.dimensions | pub.1195629141 | |
| dc.identifier.doi | 10.1007/s00233-025-10604-4 | |
| dc.identifier.issn | 0037-1912 | |
| dc.identifier.issn | 1432-2137 | |
| dc.identifier.orcid | 0000-0002-7688-774X | |
| dc.identifier.uri | https://hdl.handle.net/11449/322812 | |
| dc.publisher | Springer Nature | |
| dc.relation.ispartof | Semigroup Forum; p. 1-36 | |
| dc.rights.accessRights | Acesso restrito | pt |
| dc.rights.sourceRights | closed | |
| dc.source | Dimensions | |
| dc.title | Lyapunov stability of transformation semigroups on Hausdorff spaces | |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| relation.isOrgUnitOfPublication | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| relation.isOrgUnitOfPublication.latestForDiscovery | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Faculdade de Ciências e Tecnologia, Presidente Prudente | pt |