多时滞高非线性混合中性受电弓随机系统的指数稳定性

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2025-01-14 DOI:10.1007/s10440-025-00705-1

Abdellatif Ben Makhlouf, Aws Ben Hamed, Lassaad Mchiri, Mohamed Rhaima

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引用次数: 0

摘要

研究了高非线性混合中性受电弓多时滞随机方程（HNPSDEswMD）的存在性和指数稳定性问题。利用Lyapunov泛函方法，在不设线性增长条件的情况下，给出了上述问题的精确解。我们最后用两个数值例子证实了我们的理论发现。

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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Exponential Stability of Highly Nonlinear Hybrid Neutral Pantograph Stochastic Systems with Multiple Delays

This paper addresses the existence and exponential stability problem of highly nonlinear hybrid neutral pantograph stochastic equations with multiple delays (HNPSDEswMD). By Lyapunov functional method and without laying down a linear growth condition, the above problem of the exact solution is shown. We end up with two numerical examples that corroborates our theoretical findings.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.