(N, λ)-periodic solutions to abstract difference equations of convolution type

This work primarily focuses on (N, λ)-periodic sequences and their applications. To begin, we provide a brief overview of (N, λ)-periodic sequences and introduce several results. Secondly, in terms of applications and main objective, we establish sufficient criteria for both the existence and unique...

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Detalles Bibliográficos
Autores: Alvarez, Edgardo, Díaz, Stiven, Rueda, Silvia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:Colombia
Institución:Corporación Universidad de la Costa
Repositorio:Repositorio REDICUC
Idioma:inglés
OAI Identifier:oai:repositorio.cuc.edu.co:11323/13368
Acceso en línea:https://hdl.handle.net/11323/13368
https://doi.org/10.1016/j.jmaa.2024.128643
https://repositorio.cuc.edu.co/
Access Level:acceso abierto
Palabra clave:(N, λ)-periodic
Abstract difference equations of convolution type
Fractional difference equations
Difference operators
Descripción
Sumario:This work primarily focuses on (N, λ)-periodic sequences and their applications. To begin, we provide a brief overview of (N, λ)-periodic sequences and introduce several results. Secondly, in terms of applications and main objective, we establish sufficient criteria for both the existence and uniqueness of (N, λ)-periodic mild solutions for abstract difference equations of convolution type. Furthermore, we present illustrative examples to highlight our key findings.