由lsamvy噪声驱动的时滞混合随机系统的几乎肯定稳定性

IF 1.1 3区数学 Q1 MATHEMATICS Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-41

Chao Wei

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引用次数: 0

摘要

。研究了一类由L´evy噪声驱动的非线性时滞混合随机系统的几乎确定稳定性。我们推导出该系统具有唯一的全局解。然后，我们讨论了随机系统的几乎确定稳定性。最后给出了一个数值算例来验证结果。

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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Almost surely stability of delay hybrid stochastic system driven by Lévy noise

. This study is devoted to investigate the almost sure stability of a class of nonlinear delay hybrid stochastic system driven by L´evy noise. We derive that the system has a unique global solution. Then, we discuss the almost sure stability of the stochastic system. A numerical example is provided to verify the results.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.