带线性记忆的阻尼耦合吊桥方程的全局吸引子

doi:10.3969/j.issn.1000-5641.2018.02.002

华东师范大学学报(自然科学版) ›› 2018, Vol. 2018 ›› Issue (2): 11-22.doi: 10.3969/j.issn.1000-5641.2018.02.002

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

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2017-02-14 出版日期:2018-03-25 发布日期:2018-03-22
通讯作者: 马巧珍,女,博士生导师,教授,研究方向为无穷维动力系统与常微分方程.E-mail:maqzh@nwnu.edu.cn. E-mail:maqzh@nwnu.edu.cn
作者简介: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.
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）

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

HUANG Shang-shang, MA Qiao-zhen

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2017-02-14 Online:2018-03-25 Published:2018-03-22

摘要/Abstract

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

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

中图分类号:

O175.29

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.

HUANG Shang-shang, MA Qiao-zhen. Global attractors for the coupled damped suspension bridge equations with linear memory[J]. Journal of East China Normal University(Natural Sc, 2018, 2018(2): 11-22.

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带线性记忆的阻尼耦合吊桥方程的全局吸引子

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

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