On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
| Autor: | Caraballo Garrido, Tomás, Morillas Jurado, Francisco, Valero Cuadra, José |
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| Přispěvatelé: | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | idUS. Depósito de Investigación de la Universidad de Sevilla instname |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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