STABILITY OF HALF-LINEAR NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAYS

被引：5

作者：

Wu, Meng ^{[1
]}

Huang, Nan-Jing ^{[1
]}

Zhao, Chang-Wen ^{[2
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] Sichuan Univ, Coll Business & Management, Chengdu 610064, Sichuan, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 80卷 / 03期

基金：

中国国家自然科学基金;

关键词：

fixed points; stability; neutral stochastic differential equations; variable delays; FIXED-POINTS;

D O I：

10.1017/S0004972709000422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the mean square asymptotic stability of a generalized half-linear neutral stochastic differential equation with variable delays applying 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 given to illustrate our results.

引用

页码：369 / 383

页数：15

共 12 条

[1]

[Anonymous], 2001, DYNAM SYST APPL

[2]

[Anonymous], 1997, FUNCTIONAL DIFFERENT

[3]

Burton T.A., 2001, NONLINEAR STUD, V9, P181

[4]

Burton T. A., 2003, Fixed Point Theory, V4, P15

[5] Fixed points and stability of a nonconvolution equation [J].

Burton, TA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (12) :3679-3687

[6]

Da Prato G., 2014, Stochastic Equations in Infinite Dimensions, DOI 10.1017/CBO9780511666223

[7]

Karatzas Ioannis, 1991, Brownian Motion and Stochastic Calculus, V2nd

[8]

Liu K., 2006, Stability of infinite dimensional stochastic differential equations with applications

[9] Fixed points and stability of neutral stochastic delay differential equations [J].

Luo, Jiaowan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :431-440

[10]

Mao X., 2007, Stochastic Differential Equations and Their Applications, DOI DOI 10.1533/9780857099402

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