On positive periodic solutions to third-order integro-differential equations with distributed delays

In this paper, we investigate the existence of positive periodic solutions of a third-order nonlinear integrodifferential equation with distributed delays, by using the Green function and the Krasnosel’skii fixed point theorem in cones of Banach spaces, providing new results on this field. Three exa...

Descripción completa

Detalles Bibliográficos
Autores: Benhadri, Mimia, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::d2cb33b95caafa9f68ef7fa9bf591452
Acceso en línea:https://hdl.handle.net/11441/186720
https://doi.org/10.55730/1300-0098.3465
Access Level:acceso abierto
Palabra clave:Fixed point theorem
Positive periodic solutions
Third-order delay differential equations
Distributed delays
Descripción
Sumario:In this paper, we investigate the existence of positive periodic solutions of a third-order nonlinear integrodifferential equation with distributed delays, by using the Green function and the Krasnosel’skii fixed point theorem in cones of Banach spaces, providing new results on this field. Three examples are analyzed to illustrate the effectiveness of the abstract results.