In this paper, we study the longtime behavior of the solutions for the nonautonomous suspension bridge equations. Recently, many mathematical authors are interested in them and have obtained some excellent results such as [16].Our main results:we consider the following nonautonomous suspension bridge equations where Ω is a bounded domain in R5with smooth boundary. First, when g E Lb2(R,H2(Ω)), we obtain the existence of uniform compact attractors in H0. Furthermore, the asymptotic regularity of solution is proved, and based on this regularity, we investigate the existence of the exponential attractors in H0for the case g∈Lb2(R,L2(Ω)).
