Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 16, pp. 1-16.

Title: Uniform attractors of non-autonomous suspension bridge equations with memory

Authors: Lulu Wang (Northwest Normal Univ., Lanzhou, Gansu, China)
         Qiaozhen Ma (Northwest Normal Univ., Lanzhou, Gansu, China)

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.

Submitted November 20, 2023. Published February 10, 2024.
Math Subject Classifications: 35B40, 37B55, 37L30.
Key Words: Uniform attractor; non-autonomous bridge equation; maximal monotone operator; memory term.