Attracting and quasi-invariant sets for a class of impulsive stochastic difference equations

Advances in Difference Equations

Dingshi Li¹  Shujun Long¹ 

[1] Yangtze Center of Mathematics, Sichuan University, Chengdu, China

关键词: Attracting set;    Quasi-invariant set;    Impulsive, Stochastic;    Difference equations;    Difference in-equality;    Halanay inequality;   

DOI  :  10.1186/1687-1847-2011-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this article is to study the attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. By establishing a difference inequality, we obtain the attracting and quasi-invariant sets of systems under consideration. An example is given to illustrate the theory.

【 授权许可】

CC BY