THE EXISTENCE AND HYERS-ULAM STABILITY FOR SECOND ORDER RANDOM IMPULSIVE DIFFERENTIAL EQUATIONS

被引：12
|
作者：
Niu, Panpan [1 ]
Shu, Xiao-Bao [1 ]
Li, Yongjin [2 ]
机构：
[1] Hunan Univ, Dept Math, Changsha 410082, Hunan, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2019年 / 28卷 / 03期
关键词：
second order random impulsive differential equations; fixed point theory; random impulsive; Hyers-Ulam stability; EXPONENTIAL STABILITY; SYSTEM; PERMANENCE;
D O I：
10.12732/dsa.v28i3.9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existencce and Hyers-Ulam stability of solution second order random impulsive differential equations. Firstly, the solution for the equation is proved. Then, the existence results are obtained by fixed point which is a version of the topological transversality theorem. Finally, the Hyers-Ulam stability of the solution will be proved.
引用
收藏
页码：673 / 690
页数：18
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