New criteria for global asymptotic stability of linear neutral differential equations by a fixed point approach

New criteria ensuring global asymptotic stability of the zero solution for a class of linear neutral differential equations in C 1 are proved, by using two auxiliary functions on a contraction condition. Necessary and sufficient conditions for the stability of our equation which also improves recent...

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Detalhes bibliográficos
Autores: Benhadri, Mimia, Caraballo Garrido, Tomás
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137498
Acesso em linha:https://hdl.handle.net/11441/137498
Access Level:acceso abierto
Palavra-chave:Contraction mapping principle
Asymptotic stability
Neutral differential equations
Descrição
Resumo:New criteria ensuring global asymptotic stability of the zero solution for a class of linear neutral differential equations in C 1 are proved, by using two auxiliary functions on a contraction condition. Necessary and sufficient conditions for the stability of our equation which also improves recent results on this field are shown. Finally, an example is provided to illustrate the feasibility and advantage of our results