pth Moment Exponential Stability of Nonlinear Hybrid Stochastic Heat Equations

被引：0

作者：

Yang, Xuetao ^{[1
,2
]}

Zhu, Quanxin ^{[1
,2
]}

Yao, Zhangsong ^{[3
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Xiaozhuang Univ, Sch Math & Informat Technol, Nanjing 211171, Jiangsu, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

基金：

中国国家自然科学基金;

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; STABILIZATION;

D O I：

10.1155/2014/481246

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We are concerned with the exponential stability problem of a class of nonlinear hybrid stochastic heat equations (known as stochastic heat equations with Markovian switching) in an infinite state space. The fixed point theory is utilized to discuss the existence, uniqueness, and pth moment exponential stability of the mild solution. Moreover, we also acquire the Lyapunov exponents by combining the fixed point theory and the Gronwall inequality. At last, two examples are provided to verify the effectiveness of our obtained results.

引用

页数：7

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