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

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences 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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来源期刊

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.