6533b85cfe1ef96bd12bd133
RESEARCH PRODUCT
On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
Tomás Caraballo GarridoFrancisco Morillas JuradoJosé Valero Cuadrasubject
Lattice dynamical systemsset-valued dynamical systemsdifferential equations with delayglobal attractordescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |