On the Dynamics of Abstract Retarded Evolution Equations

الملخص EN

This paper is concerned with the dynamics of the following abstract retarded evolution equation: d/dtut+Aut=Fut-r1,…,ut-rn+gt in a Hilbert space H, where A:DA⊂H→H is a self-adjoint positive-definite operator with compact resolvent and F:DAαn→H α∈0,1/2 is a locally Lipschitz continuous mapping.

The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.