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

被引：2

作者：

Caraballo, Tomas

Ezzine, Faten ^{[1
,2
]}

Hammami, Mohamed Ali ^{[2
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, Seville 41012, Spain

[2] Univ Sfax, Fac Sci Sfax, St Soukra Km 3-5, Sfax, Tunisia

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2022年 / 60期

关键词：

stochastic delay systems; almost sure practical stability; decay; function; Lyapunov functional; It? formula; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; SYSTEMS; STABILIZATION;

D O I：

10.14232/ejqtde.2022.1.60

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

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页码：1 / 22

页数：22

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