Boundedness and global exponential stability for delayed differential equations with applications

Bibliographic Details
Main Author: Faria, Teresa
Publication Date: 2009
Other Authors: Oliveira, José J.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/11304
Summary: 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.CMAFFundação para a Ciência e a Tecnologia (FCT) - SFRH/BD/29563/2006CMATPOCI 2010FEDERElsevierUniversidade do MinhoFaria, TeresaOliveira, José J.20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-12T05:01:14Zoai:repositorium.sdum.uminho.pt:1822/11304Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:54:19.638648Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 https://hdl.handle.net/1822/11304
url https://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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