华东师范大学学报（自然科学版） >

2018 , Vol. 2018 >Issue 2: 11 - 22

DOI: https://doi.org/10.3969/j.issn.1000-5641.2018.02.002

数学

带线性记忆的阻尼耦合吊桥方程的全局吸引子

  • 黄商商 ,
  • 马巧珍
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  • 西北师范大学 数学与统计学院, 兰州 730070
黄商商,男,硕士研究生,研究方向为无穷维动力系统与常微分方程.E-mail:1376132714@qq.com.

收稿日期: 2017-02-14

  网络出版日期: 2018-03-22

基金资助

国家自然科学基金（11561064，11361053）；西北师范大学创新团队基金（NWNU-LKQN-14-6）

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Global attractors for the coupled damped suspension bridge equations with linear memory

  • HUANG Shang-shang ,
  • MA Qiao-zhen
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  • College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received date: 2017-02-14

  Online published: 2018-03-22

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摘要

本文研究了带线性记忆的阻尼耦合吊桥方程的长时间动力学行为，应用能量估计及收缩函数的方法，获得了弱拓扑空间中全局吸引子的存在性.

关键词： 耦合吊桥方程; 全局吸引子; 有界吸收集; 线性记忆

本文引用格式

黄商商 , 马巧珍 . 带线性记忆的阻尼耦合吊桥方程的全局吸引子[J]. 华东师范大学学报（自然科学版）, 2018 , 2018(2) : 11 -22 . DOI: 10.3969/j.issn.1000-5641.2018.02.002

Abstract

In this paper, we investigate the long-time dynamical behavior of coupled suspension bridge equations with linear memory. We obtain the existence of the global attractors in the weak Hilbert space by using methods of energy estimates and contractive function.

Key words： coupled suspension bridge equations; global attractor; bounded absorbing set; linear memory

参考文献

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