Stability results for impulsive functional differential equations with infinite delay
dc.contributor.author | Faria, Teresa | |
dc.contributor.author | Gadotti, Marta C. [UNESP] | |
dc.contributor.author | Oliveira, Jose J. | |
dc.contributor.institution | Univ Lisbon | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Univ Minho | |
dc.date.accessioned | 2013-09-30T18:51:18Z | |
dc.date.accessioned | 2014-05-20T14:17:06Z | |
dc.date.available | 2013-09-30T18:51:18Z | |
dc.date.available | 2014-05-20T14:17:06Z | |
dc.date.issued | 2012-12-01 | |
dc.description.abstract | For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying discrete delays. Most of the impulsive neural network models with delay recently studied are included in the general framework presented here. (C) 2012 Elsevier Ltd. All rights reserved. | en |
dc.description.affiliation | Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal | |
dc.description.affiliation | Univ Lisbon, Fac Ciencias, CMAF, P-1749016 Lisbon, Portugal | |
dc.description.affiliation | Univ Estadual Paulista, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil | |
dc.description.affiliation | Univ Minho, Escola Ciencias, Dept Matemat & Aplicacoes, P-4710057 Braga, Portugal | |
dc.description.affiliation | Univ Minho, Escola Ciencias, CMAT, P-4710057 Braga, Portugal | |
dc.description.affiliationUnesp | Univ Estadual Paulista, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil | |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorship | research centre CMAT | |
dc.description.sponsorshipId | FCT: ISFL-1-209 | |
dc.description.sponsorshipId | FAPESP: 10/12712-7 | |
dc.format.extent | 6570-6587 | |
dc.identifier | http://dx.doi.org/10.1016/j.na.2012.07.030 | |
dc.identifier.citation | Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 75, n. 18, p. 6570-6587, 2012. | |
dc.identifier.doi | 10.1016/j.na.2012.07.030 | |
dc.identifier.issn | 0362-546X | |
dc.identifier.uri | http://hdl.handle.net/11449/25127 | |
dc.identifier.wos | WOS:000309691700018 | |
dc.language.iso | eng | |
dc.publisher | Pergamon-Elsevier B.V. Ltd | |
dc.relation.ispartof | Nonlinear Analysis-theory Methods & Applications | |
dc.relation.ispartofjcr | 1.291 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.subject | Infinite delay | en |
dc.subject | Impulses Existence of solutions | en |
dc.subject | Cohen-Grossberg neural network | en |
dc.subject | Global asymptotic stability | en |
dc.subject | Global exponential stability | en |
dc.title | Stability results for impulsive functional differential equations with infinite delay | en |
dc.type | Artigo | |
dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
dcterms.rightsHolder | Pergamon-Elsevier B.V. Ltd | |
dspace.entity.type | Publication | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claro | pt |
unesp.department | Matemática - IGCE | pt |
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