广东工业大学学报 ›› 2020, Vol. 37 ›› Issue (06): 56-62.doi: 10.12052/gdutxb.190160

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一类脉冲随机微分方程解的稳定性

黄慧敏, 郭承军   

  1. 广东工业大学 应用数学学院，广东 广州 510520
  • 收稿日期:2019-12-19 出版日期:2020-11-02 发布日期:2020-11-02
  • 通信作者: 郭承军(1977-)，男，教授，主要研究方向为泛函微分方程，E-mail：guochj817@163.com E-mail:guochj817@163.com
  • 作者简介:黄慧敏(1995-)，女，硕士研究生，主要研究方向为泛函微分方程
  • 基金资助:
    广东省自然科学基金资助项目（2018A030313871）

Stability of Solutions for a Class of Impulsive Stochastic Differential Equations

Huang Hui-min, Guo Cheng-jun   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2019-12-19 Online:2020-11-02 Published:2020-11-02

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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。

关键词: 不动点理论, Lyapunov泛函, 脉冲, 稳定性

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.

Key words: fixed point theory, Lyapunov functional, impulsive, stability

中图分类号: 

  • O175
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