具有历史记忆的阻尼吊桥方程强全局吸引子的存在性

数学物理学报 ›› 2017, Vol. 37 ›› Issue (4): 684-697.

具有历史记忆的阻尼吊桥方程强全局吸引子的存在性

刘世芳, 马巧珍

西北师范大学数学与统计学院兰州 730070

收稿日期:2016-11-16 修回日期:2017-04-20 出版日期:2017-08-26 发布日期:2017-08-26
通讯作者: 马巧珍,E-mail:maqzh@nwnu.edu.cn E-mail:maqzh@nwnu.edu.cn
作者简介:刘世芳,E-mail:liushifangwy@163.com;
基金资助:
国家自然科学基金（11561064，11361053）和西北师范大学创新团队基金（NWNU-LKQN-14-6）

Existence of Strong Global Attractors for Damped Suspension Bridge Equations with History Memory

Liu Shifang, Ma Qiaozhen

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

Received:2016-11-16 Revised:2017-04-20 Online:2017-08-26 Published:2017-08-26
Supported by:
Supported by the NSFC (11561064, 11361053) and the Northwest Normal University Innovation Team Fund (NWNU-LKQN-14-6)

摘要/Abstract

摘要： 该文研究具有历史记忆的阻尼吊桥方程解的长时间行为，利用收缩函数的方法获得了解在强拓扑空间中全局吸引子的存在性.

关键词: 吊桥方程, 全局吸引子, 有界吸收集, 历史记忆

Abstract: In this paper, we study the long-time dynamical behavior of the solution for damped suspension bridge equations with history memory. We prove the existence of the global attractors in a strong space by using the contraction function method.

Key words: Suspension bridge equations, Global attractors, A bounded absorbing set, History memory

中图分类号:

O175.29

刘世芳, 马巧珍. 具有历史记忆的阻尼吊桥方程强全局吸引子的存在性[J]. 数学物理学报, 2017, 37(4): 684-697.

Liu Shifang, Ma Qiaozhen. Existence of Strong Global Attractors for Damped Suspension Bridge Equations with History Memory[J]. Acta mathematica scientia,Series A, 2017, 37(4): 684-697.

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