Boundedness and global exponential stability for delayed differential equations with applications

Detalhes bibliográficos
Autor(a) principal: Faria, Teresa
Data de Publicação: 2009
Outros Autores: Oliveira, José J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11304
Resumo: The boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feedbacks which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilibria are obtained. The results are illustrated with applications to delayed neural networks and population dynamics models.
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spelling Boundedness and global exponential stability for delayed differential equations with applicationsGlobal exponential stabilityGlobal asymptotic stabilityDelayNeural NetworkCohen-Grossberg neural networkDelayed population modelScience & TechnologyThe boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feedbacks which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilibria are obtained. The results are illustrated with applications to delayed neural networks and population dynamics models.POCI 2010CMATFundação para a Ciência e a Tecnologia (FCT) - SFRH/BD/29563/2006CMAFFEDERElsevierUniversidade do MinhoFaria, TeresaOliveira, José J.20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/11304eng"Applied Mathematics and Computation". ISSN 0096-3003. 214 (2009) 487-496.0096-300310.1016/j.amc.2009.04.016http://www.elsevier.com/wps/find/journaldescription.cws_home/522482/description#descriptioninfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:34:33Zoai:repositorium.sdum.uminho.pt:1822/11304Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:30:15.654701Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Boundedness and global exponential stability for delayed differential equations with applications
title Boundedness and global exponential stability for delayed differential equations with applications
spellingShingle Boundedness and global exponential stability for delayed differential equations with applications
Faria, Teresa
Global exponential stability
Global asymptotic stability
Delay
Neural Network
Cohen-Grossberg neural network
Delayed population model
Science & Technology
title_short Boundedness and global exponential stability for delayed differential equations with applications
title_full Boundedness and global exponential stability for delayed differential equations with applications
title_fullStr Boundedness and global exponential stability for delayed differential equations with applications
title_full_unstemmed Boundedness and global exponential stability for delayed differential equations with applications
title_sort Boundedness and global exponential stability for delayed differential equations with applications
author Faria, Teresa
author_facet Faria, Teresa
Oliveira, José J.
author_role author
author2 Oliveira, José J.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Faria, Teresa
Oliveira, José J.
dc.subject.por.fl_str_mv Global exponential stability
Global asymptotic stability
Delay
Neural Network
Cohen-Grossberg neural network
Delayed population model
Science & Technology
topic Global exponential stability
Global asymptotic stability
Delay
Neural Network
Cohen-Grossberg neural network
Delayed population model
Science & Technology
description The boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feedbacks which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilibria are obtained. The results are illustrated with applications to delayed neural networks and population dynamics models.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/11304
url http://hdl.handle.net/1822/11304
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Applied Mathematics and Computation". ISSN 0096-3003. 214 (2009) 487-496.
0096-3003
10.1016/j.amc.2009.04.016
http://www.elsevier.com/wps/find/journaldescription.cws_home/522482/description#description
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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