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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Detalles Bibliográficos
Autores: Benhadri, Mimia, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137498
Acceso en línea:https://hdl.handle.net/11441/137498
Access Level:acceso abierto
Palabra clave:Contraction mapping principle
Asymptotic stability
Neutral differential equations
Descripción
Sumario: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