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Stability results for impulsive functional differential equations with infinite delay

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dc.contributor.authorFaria, Teresa
dc.contributor.authorGadotti, Marta C. [UNESP]
dc.contributor.authorOliveira, Jose J.
dc.contributor.institutionUniv Lisbon
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Minho
dc.date.accessioned2013-09-30T18:51:18Z
dc.date.accessioned2014-05-20T14:17:06Z
dc.date.available2013-09-30T18:51:18Z
dc.date.available2014-05-20T14:17:06Z
dc.date.issued2012-12-01
dc.description.abstractFor 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.affiliationUniv Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal
dc.description.affiliationUniv Lisbon, Fac Ciencias, CMAF, P-1749016 Lisbon, Portugal
dc.description.affiliationUniv Estadual Paulista, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil
dc.description.affiliationUniv Minho, Escola Ciencias, Dept Matemat & Aplicacoes, P-4710057 Braga, Portugal
dc.description.affiliationUniv Minho, Escola Ciencias, CMAT, P-4710057 Braga, Portugal
dc.description.affiliationUnespUniv Estadual Paulista, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipresearch centre CMAT
dc.description.sponsorshipIdFCT: ISFL-1-209
dc.description.sponsorshipIdFAPESP: 10/12712-7
dc.format.extent6570-6587
dc.identifierhttp://dx.doi.org/10.1016/j.na.2012.07.030
dc.identifier.citationNonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 75, n. 18, p. 6570-6587, 2012.
dc.identifier.dimensionspub.1006759291
dc.identifier.doi10.1016/j.na.2012.07.030
dc.identifier.issn0362-546X
dc.identifier.issn1873-5215
dc.identifier.orcid0000-0002-2656-263X
dc.identifier.orcid0000-0002-1971-8632
dc.identifier.orcid0000-0002-8304-0491
dc.identifier.urihttp://hdl.handle.net/11449/25127
dc.identifier.wosWOS:000309691700018
dc.language.isoeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.publisherElsevier
dc.relation.ispartofNonlinear Analysis-theory Methods & Applications
dc.relation.ispartofjcr1.291
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.sourceDimensions
dc.subjectInfinite delayen
dc.subjectImpulses Existence of solutionsen
dc.subjectCohen-Grossberg neural networken
dc.subjectGlobal asymptotic stabilityen
dc.subjectGlobal exponential stabilityen
dc.titleStability results for impulsive functional differential equations with infinite delayen
dc.typeArtigopt
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderPergamon-Elsevier B.V. Ltd
dspace.entity.typePublication
relation.isOrgUnitOfPublication4763ec56-704e-41e0-9685-b5bef5946feb
relation.isOrgUnitOfPublication.latestForDiscovery4763ec56-704e-41e0-9685-b5bef5946feb
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentMatemática - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas