Stability of Solutions for a Class of Impulsive Stochastic Differential Equations

Huang Hui-min; Guo Cheng-jun

doi:10.12052/gdutxb.190160

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Stability of Solutions for a Class of Impulsive Stochastic Differential Equations

更新时间：2026-05-27

- Stability of Solutions for a Class of Impulsive Stochastic Differential Equations
- Vol. 37, Issue 6, Pages: 56-62(2020)
- 作者机构：
  
  广东工业大学应用数学学院,广东,广州,510520
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.190160
  CLC： O175
- Online First：02 November 2020，
  
  Published：2020
- 稿件说明：
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黄慧敏, 郭承军. 一类脉冲随机微分方程解的稳定性[J]. 广东工业大学学报, 2020, 37(6): 56-62.

Huang Hui-min, Guo Cheng-jun. Stability of Solutions for a Class of Impulsive Stochastic Differential Equations[J]. 2020, 37(6): 56-62.
黄慧敏, 郭承军. 一类脉冲随机微分方程解的稳定性[J]. 广东工业大学学报, 2020, 37(6): 56-62. DOI： 10.12052/gdutxb.190160.

Huang Hui-min, Guo Cheng-jun. Stability of Solutions for a Class of Impulsive Stochastic Differential Equations[J]. 2020, 37(6): 56-62. DOI： 10.12052/gdutxb.190160.

摘要

通过运用不动点理论方法和Lyapunov稳定性定理

研究了一类脉冲随机微分方程解的稳定性

得到了该方程均方指数稳定的充分条件。

Abstract

The stability of solutions of a class of impulsive stochastic differential equations was studied by using the fixed point theory and Lyapunov stability theorem and sufficient conditions for the exponential stability in the mean square of the equation are obtained.

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references

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