Uniform attractors of non-autonomous suspension bridge equations with memory

Abstract

In this article, we investigate the long-time dynamical behavior of non-autonomous suspension bridge equations with memory and free boundary conditions. We first establish the well-posedness of the system by means of the maximal monotone operator theory. Secondly, the existence of uniformly bounded absorbing set is obtained. Finally, asymptotic compactness of the process is verified, and then the existence of uniform attractors is proved for non-autonomous suspension bridge equations with memory term. For more information see https://ejde.math.txstate.edu/Volumes/2024/16/abstr.html