Exponential stability results for second-order impulsive neutral stochastic differential equations

被引：0

作者：

Gao, Dongdong ^{[1
]}

Kuang, Daipeng ^{[2
]}

Li, Jianli ^{[2
]}

机构：

[1] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China

[2] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 08期

关键词：

Exponential stability; impulsive-integral inequality; the Banach fixed point theorem; second-order impulsive neutral stochastic differential equations; MILD SOLUTIONS; EXISTENCE; SYSTEMS; DRIVEN;

D O I：

10.2989/16073606.2024.2329810

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is aimed to discuss the existence and exponential stability of mild solutions for second-order impulsive neutral stochastic differential equations (INSDEs). Firstly, we derive the existence of mild solutions for INSDEs by using the Banach fixed point theorem. Then, the exponential stability in the pth moment of mild solution for the considered INSDEs is proved by means of the generalized impulsive-integral inequality, which can effectively improve some known existing ones. Finally, as an application, an example is given to illustrate the efficiency of the obtained theoretical results.

引用

页码：1631 / 1647

页数：17

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