Article
On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
Author/s | Caraballo Garrido, Tomás
Morillas Jurado, Francisco Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2014 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | 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 ... 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. |
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