TIME-DEPENDENT ATTRACTOR OF THE PLATE EQUATION WITH NONLINEAR DAMPING AND LINEAR MEMORY

Liu Tingting; Ma Qiaozhen

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TIME-DEPENDENT ATTRACTOR OF THE PLATE EQUATION WITH NONLINEAR DAMPING AND LINEAR MEMORY

机译：具有非线性阻尼和线性存储器的板式方程的时间依赖吸引子

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摘要

Based on the method of contractive functions, the existence of the time-dependent global attractor of the plate equation with nonlinear damping and linear memory is proved.

机译：基于压缩函数方法，证明了具有非线性阻尼和线性记忆的平板方程的时变全局吸引子的存在性。

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来源
《The Rocky Mountain journal of mathematics》 |2020年第4期|共16页
作者
Liu Tingting; Ma Qiaozhen;
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作者单位

Northwest Normal Univ Coll Math &

Stat Lanzhou Gansu Peoples R China;

Northwest Normal Univ Coll Math &

Stat Lanzhou Gansu Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
plate equation; nonlinear damping; time-dependent attractor; linear memory; contractive functions;

机译：板式方程;非线性阻尼;时间依赖的吸引子;线性记忆;对函数;

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1. Global Attractor for Damped Wave Equations with Nonlinear Memory [J] . Yinghao HAN, Zhen＇guo YU, Zhengguo JIN 数学研究及应用：英文版 . 2012,第002期
2. Time-dependent attractor of wave equations with nonlinear damping and linear memory : Open Mathematics [J] . Qiaozhen Ma, Jing Wang, Tingting Liu Open Mathematics . 2019,第1期

机译：具有非线性阻尼和线性记忆的波动方程的时变吸引子：开放数学
3. Global Attractors of the Extensible Plate Equations with Nonlinear Damping and Memory [J] . Yao Xiaobin, Ma Qiaozhen Journal of Function Spaces . 2017,第1期

机译：具有非线性阻尼和记忆的可伸展板方程的全局吸引子
4. Global Attractors of the Extensible Plate Equations with Nonlinear Damping and Memory [J] . Yao Xiaobin, Ma Qiaozhen Journal of Function Spaces . 2017,第1期

机译：具有非线性阻尼和记忆的可伸展板方程的全局吸引子
5. Kolmogorov's e-Entropyfor a Class of Invariant Sets and Dimension of Global Attractors for Second-Order Evolution Equations with Nonlinear Damping [C] . Igor Chueshov, Irena Lasiecka Conference on Control Theory for Partial Differential Equations . 2005

机译：Kolmogorov的E-entropy是一类不变集和全局吸引子的尺寸，用于具有非线性阻尼的二阶进化方程
6. Global attractors for damped abstract nonlinear hyperbolic systems. [D] . Pinter, Gabriella Agnes. 1997

机译：阻尼抽象非线性双曲系统的全局吸引子。
7. Modeling Individual Damped Linear Oscillator Processes with Differential Equations [O] . Pascal R. Deboeck, Steven M. Boker, C. S. Bergeman -1

机译：用微分方程建模单个阻尼线性振荡器过程
8. Time-dependent attractor of wave equations with nonlinear damping and linear memory [O] . Qiaozhen Ma, Jing Wang, Tingting Liu 2019

机译：具有非线性阻尼和线性存储器的波动方程的时间依赖吸引子
9. Global Attractor for Damped Abstract Nonlinear Hyperbolic Systems [R] . Pinter, G. A. 1998

机译：阻尼抽象非线性双曲型方程组的全局吸引子

TIME-DEPENDENT ATTRACTOR OF THE PLATE EQUATION WITH NONLINEAR DAMPING AND LINEAR MEMORY

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