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：
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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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