A note on exponential stability for impulsive neutral stochastic partial functional differential equations

被引：32

作者：

Chen, Huabin ^{[1
]}

Zhu, Chuanxi ^{[1
]}

Zhang, Yingying ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 227卷

基金：

中国国家自然科学基金;

关键词：

Existence and uniqueness; Exponential stability; Mild solution; Impulsive neutral stochastic partial functional differential equations; ASYMPTOTIC STABILITY; MILD SOLUTIONS; FIXED-POINTS; EXISTENCE; UNIQUENESS; SYSTEMS; SDES;

D O I：

10.1016/j.amc.2013.10.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, the problem on the exponential stability in mean square moment of mild solution to impulsive neutral stochastic partial functional differential equations is considered by employing the inequality technique. Some sufficient conditions are established for the concerned problem, and some existing results are generalized and improved. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：139 / 147

页数：9

共 35 条

[1] The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness [J].

Anguraj, A. ;

Wu, Shujin ;

Vinodkumar, A. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (02) :331-342

[2]

[Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892

[3] Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space [J].

Boufoussi, Brahim ;

Hajji, Salah .

STATISTICS & PROBABILITY LETTERS, 2012, 82 (08) :1549-1558

[4]

Chen Huabin, 2010, [数学研究与评论, Journal of Mathematical Research and Exposition], V30, P589

[5] Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays [J].

Chen, Huabin .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

[6] Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays [J].

Chen, Huabin .

STATISTICS & PROBABILITY LETTERS, 2010, 80 (01) :50-56

[7] Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps [J].

Cui, Jing ;

Yan, Litan ;

Sun, Xichao .

STATISTICS & PROBABILITY LETTERS, 2011, 81 (12) :1970-1977

[8]

Da Prato G., 1992, STOCHASTIC EQUATIONS, DOI 10.1017/CBO9780511666223

[9] A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay [J].

Govindan, T. E. ;

Ahmed, N. U. .

STATISTICS & PROBABILITY LETTERS, 2012, 82 (07) :1303-1309

[10] On the exponential stability in mean square of neutral stochastic functional differential equations [J].

Liu, K ;

Xia, XW .

SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :207-215

← 1 2 3 4 →