Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term

In this paper, based on a new theoretical framework of time -dependent global attractors (Conti, Pata and Temam [8]), we consider the strongly damped wave equations epsilon(t)utt - Delta ut - Delta u + f(u) = g(x) and establish the existence of attractors in Ht = H01 (11) x L2(11) and Vt = H01(11) x H01(11), respectively.