Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay

作     者：Suping Wang Qiaozhen Ma Xukui Shao Suping Wang;Qiaozhen Ma;Xukui Shao

作者机构：School of Mathematics and Information Engineering Longdong University Qingyang China School of Mathematics and Statistics Northwest Normal University Lanzhou China 

出 版 物：《Engineering（科研）》 (工程（英文）（1947-3931）)

年 卷 期：2023年第15卷第10期

页      面：632-646页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Suspension Bridge Equation State-Dependent Delay Global Attractor Exponential Attractor Quasi-Stability 

摘      要：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.