STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS

被引：0
|
作者：
M.GOWRISANKAR [1 ]
P.MOHANKUMAR [2 ]
A.VINODKUMAR [3 ]
机构：
[1] Department of Mathematics,Annapoorana Engineering College Salem- 636308,Tamil Nadu,India
[2] Department of Mathematics Arupadai Veedu Institute of Technology,Chennai- 636104
[3] Department of Mathematics,PSG College of Technology Coimbatore- 641004,Tamil Nadu,India
来源：
Acta Mathematica Scientia | 2014年 / 34卷 / 04期
关键词：
semilinear differential equations; random impulses; stability; Hyers-Ulam stability; Hyers-Ulam-Rassias stability; exponential stability; contraction principle;
D O I：
暂无
中图分类号：
O211.6 [随机过程];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations under sufficient condition. The results are obtained by using the contraction mapping principle.Finally an example is given to illustrate the applications of the abstract results.
引用
收藏
页码：1055 / 1071
页数：17
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