$$\boldsymbol\{mathbb{R}}^{boldsymbol{n}}$$上具有可变延迟的平板方程的动力学特性

Pub Date : 2024-07-09 DOI:10.3103/s1068362324700146

S. Wang, Q. Ma

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引用次数: 0

摘要

摘要许多学者研究了无延迟效应的平板方程的动力学解。但关于无界域上有可变延迟的板块方程的研究却很少。因此，我们首先利用多值动力学系统理论，考虑在 $\mathbb{R}^{n}$上有可变延迟的板块方程是否存在回拉吸引子。

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Dynamics of Plate Equation with Variable Delay on $$\boldsymbol{\mathbb{R}}^{\boldsymbol{n}}$$

Abstract

The dynamics of solutions for the plate equation without delay effects has been investigated by many authors. But there are few works on plate equation with variable delay on unbounded domain. Therefore, we firstly consider the existence of pullback attractor for the plate equation with variable delay on $\mathbb{R}^{n}$ by using the theory of multivalued dynamical system.

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