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(School of Mathematics and Information Engineering, Longdong University, Qingyang, China;School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China)

机构地区：[1]School of Mathematics and Information Engineering, Longdong University, Qingyang, China [2]School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China

出　　处：《Engineering（科研）》2023年第10期632-646,共15页工程（英文）（1947-3931）

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.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.

关 键 词：Suspension Bridge Equation State-Dependent Delay Global Attractor Exponential Attractor Quasi-Stability 

分 类 号：O17[理学—数学]