Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays

被引：63
|
作者：
Li, Shuang [1 ]
Shu, Linxin [1 ]
Shu, Xiao-Bao [1 ]
Xu, Fei [2 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha, Hunan, Peoples R China
[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON, Canada
来源：
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2019年 / 91卷 / 06期
关键词：
Hyers-Ulam stability; random impulsive; stochastic differential equations with delays; existence of mild solutions; 1ST-ORDER; UNIQUENESS;
D O I：
10.1080/17442508.2018.1551400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence and Hyers-Ulam stability for random impulsive stochastic functional differential equations with finite delays. Firstly, we prove the existence of mild solutions to the equations by using Krasnoselskii's fixed point. Then, we investigate the Hyers-Ulam stability results under the Lipschitz condition on a bounded and closed interval. Finally, an example is given to illustrate our results.
引用
收藏
页码：857 / 872
页数：16
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