New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations

This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymp totic stability of the solution. In this work we extend and improve some related results...

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Detalhes bibliográficos
Autores: Benhadri, Mimia, Caraballo Garrido, Tomás
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137521
Acesso em linha:https://hdl.handle.net/11441/137521
https://doi.org/10.21136/mb.2021.0079-20
Access Level:Acceso aberto
Palavra-chave:Contraction mapping principle
Asymptotic stability
Neutral differential equations
Descrição
Resumo:This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymp totic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the proved results. AMS Subject Classifications: 34K20, 34K13, 92B20.