Fixed points and exponential stability for stochastic Volterra-Levin equations

被引：35
作者：
Luo, Jiaowan [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 03期
关键词：
Stochastic differential equation; Exponential stability; Fixed point theory; PARTIAL-DIFFERENTIAL-EQUATIONS; INFINITE DELAYS;
D O I：
10.1016/j.cam.2010.02.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study a stochastic Volterra-Levin equation. By using fixed point theory, we give some conditions for ensuring that this equation is exponentially stable in mean square and is also almost surely exponentially stable. Our result generalizes and improves on the results in [14,1,30]. (C) 2010 Elsevier B.V. All rights reserved.
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收藏
页码：934 / 940
页数：7
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