Publicação

Boundedness and global exponential stability for delayed differential equations with applications

Ver documento

Detalhes bibliográficos
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.
Autores principais:Faria, Teresa
Outros Autores:Oliveira, José J.
Assunto:Global exponential stability Global asymptotic stability Delay Neural Network Cohen-Grossberg neural network Delayed population model
Ano:2009
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
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.