(ω, Q) -periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model
In this paper, we investigate the existence and uniqueness of (ω, Q) -periodic mild solutions for the following problem x′(t)=Ax(t)+f(t,x(t)), t∈R, on a Banach space X. Here, A is a closed linear operator which generates an exponentially stable C-semigroup and the nonlinearity f satisfies suitable p...
- Autores:
-
Alvarez, E.
Díaz, S.
Grau, R.
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2023
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/10375
- Acceso en línea:
- https://hdl.handle.net/11323/10375
https://repositorio.cuc.edu.co/
- Palabra clave:
- (ω, Q)-periodic solutions
Affine-periodic functions
Hopfield-type
Semilinear Cauchy problem
- Rights
- embargoedAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
| Summary: | In this paper, we investigate the existence and uniqueness of (ω, Q) -periodic mild solutions for the following problem x′(t)=Ax(t)+f(t,x(t)), t∈R, on a Banach space X. Here, A is a closed linear operator which generates an exponentially stable C-semigroup and the nonlinearity f satisfies suitable properties. The approaches are based on the well-known Banach contraction principle. In addition, a sufficient criterion is established for the existence and uniqueness of (ω, Q) -periodic mild solutions to the Hopfield-type neural network model. |
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