Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays

被引：0

作者：

Meng Wu

Nan-jing Huang

Chang-Wen Zhao

机构：

[1] Sichuan University,Department of Mathematics

[2] Sichuan University,College of Business and Management

来源：

Fixed Point Theory and Applications | / 2008卷

关键词：

Banach Space; Asymptotic Stability; Stochastic Differential Equation; Inverse Function; Contraction Mapping;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the mean square asymptotic stability of a generalized linear neutral stochastic differential equation with variable delays by using the fixed point theory. An asymptotic mean square stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Burton, Zhang and Luo. Two examples are also given to illustrate our results.

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