具有一般衰减率的随机微分时滞方程的Lyapunov泛函与实际稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.14232/ejqtde.2022.1.60

Equations T. Caraballo, Faten Ezzine, M. Hammami

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引用次数: 0

摘要

本文证明具有一般衰减率的非线性随机微分时滞方程具有几乎确定的实际稳定性。在构造适当的李雅普诺夫泛函的基础上，我们建立了一些充分条件。最后，通过数值算例验证了本文抽象结果的有效性。

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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Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate

This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of appropriate Lyapunov functionals. Furthermore, we provide some numerical examples to validate the effectiveness of the abstract results of this paper.

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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.