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.

引用

共 50 条

[1] Fixed points and stability in neutral stochastic differential equations with variable delays
Wu, Meng
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FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
[2] Fixed points and stability in neutral differential equations with variable delays
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (03) : 909 - 918
[3] Fixed points and stability in linear neutral differential equations with variable delays
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[9] FIXED POINTS AND STABILITY IN NONLINEAR NEUTRAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
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ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (28) : 1 - 13
[10] Fixed points and stability of neutral stochastic delay differential equations
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 431 - 440

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