一类具有分布式延迟和可变指数的耦合非线性粘弹性基尔霍夫方程解的膨胀、增长和衰减

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-11 DOI:10.1186/s13660-024-03132-2

Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Rashid Jan

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引用次数: 0

摘要

在这项研究中，我们考虑了一个具有分散、源、分布延迟和可变指数的粘弹性准线性方程组。在适当的假设条件下，证明了解的膨胀和增长，并利用科莫尼克（Komornik）的积分不等式，得到了在没有源项 $f_{1}=f_{2}=0$ 的情况下的一般衰减结果。

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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Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term $f_{1}=f_{2}=0$ .

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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.

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