MEAN SQUARE EXPONENTIAL DISSIPATIVITY OF SINGULARLY PERTURBED STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

被引：1
|
作者：
Xu, Liguang [1 ]
Ma, Zhixia [2 ]
Hu, Hongxiao [3 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
[2] Southwest Univ Nationalities, Coll Comp Sci & Technol, Chengdu 610064, Peoples R China
[3] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 29卷 / 01期
基金：
中国国家自然科学基金;
关键词：
delay; stochastic; singularly perturbed; mean square exponential dissipativity; L-operator delay differential inequality;
D O I：
10.4134/CKMS.2014.29.1.205
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates mean square exponential dissipativity of singularly perturbed stochastic delay differential equations. The L-operator delay differential inequality and stochastic analysis technique are used to establish sufficient conditions ensuring the mean square exponential dissipativity of singularly perturbed stochastic delay differential equations for sufficiently small epsilon > 0. An example is presented to illustrate the efficiency of the obtained results.
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页码：205 / 212
页数：8
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