Attractors for non-autonomous retarded lattice dynamical systems

Abstract

In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.

Keywords

• lattice dynamical systems
• non-autonomous systems
• differential equations with delay
• set-valued dynamical systems
• pullback attractor