STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS

被引：31

作者：

Gowrisankar, M. ^{[1
]}

Mohankumar, P. ^{[2
]}

Vinodkumar, A. ^{[3
]}

机构：

[1] Annapoorana Engn Coll, Dept Math, Salem 636308, Tamil Nadu, India

[2] Arupadai Veedu Inst Technol, Dept Math, Madras 636104, Tamil Nadu, India

[3] PSG Coll Technol, Dept Math, 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; EXPONENTIAL STABILITY; FIXED-POINTS; EXISTENCE; INCLUSIONS;

D O I：

10.1016/S0252-9602(14)60069-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

页码：1055 / 1071

页数：17

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