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Chueshov, I. and Lasiecka, I. (2008) Long-time Behavior of Second Order Evolution Equatons with Nonlinear Damping. Memoirs of the American Mathematical Society, 912, 1-183.

has been cited by the following article:

• 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.