TITLE:
Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay
AUTHORS:
Suping Wang, Qiaozhen Ma, Xukui Shao
KEYWORDS:
Suspension Bridge Equation, State-Dependent Delay, Global Attractor, Exponential Attractor, Quasi-Stability
JOURNAL NAME:
Engineering,
Vol.15 No.10,
October
31,
2023
ABSTRACT: This
work is devoted to the following suspension bridge with state-dependent delay: . The main goal
of this paper is to investigate the long-time behavior of the system. Under
suitable hypothesis, the quasi-stability estimates of the system are established, based on which the existence of global attractor with finite fractal dimension
is obtained. Furthermore, the existence of exponential attractor is proved.