On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation in a Banach space by assuming that the nonlinear term is in some sense weakly continuous. We then apply this result to a lattice dynamical system with delay, proving also the exis...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23686 |
| Acceso en línea: | http://hdl.handle.net/11441/23686 https://doi.org/10.3934/dcds.2014.34.51 |
| Access Level: | acceso abierto |
| Palabra clave: | Lattice dynamical systems differential equations with delay set-valued dynamical systems global attractor |
| Sumario: | In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation in a Banach space by assuming that the nonlinear term is in some sense weakly continuous. We then apply this result to a lattice dynamical system with delay, proving also the existence of a global compact attractor for such system. |
|---|