UNIFORM ATTRACTORS OF NON-AUTONOMOUS SUSPENSION BRIDGE EQUATIONS WITH MEMORY

被引：0

作者：

Wang, Lulu ^{[1
]}

Ma, Qiaozhen ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 16期

基金：

中国国家自然科学基金;

关键词：

Uniform attractor; non-autonomous bridge equation; maximal monotone operator; memory term; GLOBAL ATTRACTORS; RECTANGULAR PLATE; EXISTENCE; OSCILLATIONS;

D O I：

10.58997/ejde.2024.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：16

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