一类时变时滞粘弹性方程的渐近稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-19 DOI:10.3846/mma.2023.16160

Menglan Liao, Zhong Tan

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引用次数: 0

摘要

本文的目的是研究初始边值条件下具有时变时滞的粘弹性波动方程。利用乘数法结合凸函数的一些性质，在松弛函数g的一般假设下，证明了总能量的显式和一般稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic stability for a viscoelastic equation with the Time-varying delay

The goal of the present paper is to study the viscoelastic wave equation with the time-varying delay under initial-boundary value conditions. By using the multiplier method together with some properties of the convex functions, the explicit and general stability results of the total energy are proved under the general assumption on the relaxation function g.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.