On differential equations with delay in Banach spaces and attractors for
retarded lattice dynamical systems
Tomás Caraballo - Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Campus Reina Mercedes, Apdo. de Correos 1160, 41080 Sevilla, Spain (email)
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.
Keywords: Lattice dynamical systems, differential equations with delay, set-valued dynamical systems, global attractor.
Received: November 2012; Revised: January 2013; Available Online: June 2013.
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