带有变时滞的Kirchhoff型板方程解的动力学行为
Dynamics of solution for the Kirchhoff type plate equation with variable delay
王素萍 1李红霞 1齐渊1
作者信息
- 1. 陇东学院数学与信息工程学院,陇东学院应用数学研究所,甘肃庆阳 745000
- 折叠
摘要
考虑内部反馈阻尼项含有连续次线性变时滞的Kirchhoff型板方程解的长时间动力学行为,用梯度系统理论和拟稳定性估计方法证明其全局吸引子和指数吸引子的存在性,并刻画了吸引子的结构.
Abstract
We consider the long-time dynamic behavior of solution for the Kirchhoff type plate equation with internal continuous sub-linear variable delay.The existence of global attractor and exponential attractor is provedby using the gradient system theory and quasi-stability property,and the structure of the attractor is described.
关键词
板方程/拟稳定性/变时滞/全局吸引子/指数吸引子Key words
plate equation/quasi-stability property/variable delay/global attractor/exponential at-tractor引用本文复制引用
出版年
2024
NETL
NSTL
万方数据