Pullback attractors of a multi-valued process generated by parabolic differential equations with unbounded delays

Abstract

The theory of nonautonomous multi-valued dynamical systems and a method of asymptotic compactness based on the concept of the Kuratowski measure of the noncompactness of a bounded set are used to prove the existence of pullback attractors in the weighted space Cγ,V for the multi-valued process associated with the nonautonomous parabolic differential equation with infinite delay for which the uniqueness of solutions need not hold.