Pullback trajectory attractor for nonautonomous wave equations

We consider the dynamical behavior for nonautonomous wave equations without uniqueness. The existence of both pullback weak and strong trajectories is proved. In order to obtain pullback strong trajectory attractor, we use the measure of noncom-pactness to verify evolutionary process is pullback strong asymptotically compact. The external force is not needed to be translation bounded.(c) 2023 Elsevier B.V. All rights reserved.