Existence of (N, λ)-periodic solutions for sbstract fractional difference equations
We establish sufficient conditions for the existence and uniqueness of (N,λ)-periodic solutions for the following abstract model: Δαu(n) = Au(n + 1) + f(n, u(n)), n ∈ Z, where 0 < α ≤ 1, A is a closed linear operator defined in a Banach space X, Δα denotes the fractional difference operator in th...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Colombia |
| Recursos: | Corporación Universidad de la Costa |
| Repositorio: | Repositorio REDICUC |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.cuc.edu.co:11323/9272 |
| Acesso em linha: | https://hdl.handle.net/11323/9272 https://doi.org/10.1007/s00009-021-01964-6 https://repositorio.cuc.edu.co/ |
| Access Level: | acceso embargado |
| Palavra-chave: | (N,λ)-periodic solutions Banach space Fractional difference operator Subordination |
| Resumo: | We establish sufficient conditions for the existence and uniqueness of (N,λ)-periodic solutions for the following abstract model: Δαu(n) = Au(n + 1) + f(n, u(n)), n ∈ Z, where 0 < α ≤ 1, A is a closed linear operator defined in a Banach space X, Δα denotes the fractional difference operator in the Weyl-like sense, and f satisfies appropriate conditions. |
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