Asymptotic stability of second-order neutral stochastic differential equations

被引：37

作者：

Sakthivel, R. ^{[3
]}

Ren, Yong ^{[2
]}

Kim, Hyunsoo ^{[1
]}

机构：

[1] Kyung Hee Univ, Coll Appl Sci, Yongin 446701, South Korea

[2] Univ Tasmania, Sch Math, Hobart, Tas 7001, Australia

[3] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 05期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

EXPONENTIAL STABILITY; EVOLUTION-EQUATIONS; INFINITE DELAYS; MILD SOLUTIONS; MEAN-SQUARE; UNIQUENESS; EXISTENCE; MEMORY; MODEL;

D O I：

10.1063/1.3397461

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the existence and asymptotic stability in pth moment of mild solutions to second-order nonlinear neutral stochastic differential equations. Further, this result is extended to establish stability criterion for stochastic equations with impulsive effects. With the help of fixed point strategy, stochastic analysis technique, and semigroup theory, a set of novel sufficient conditions are derived for achieving the required result. Finally, an example is provided to illustrate the obtained result. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3397461]

引用

页数：9

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