pth moment exponential stability of hybrid stochastic fourth-order parabolic equations

被引：1
|
作者：
Wei, Ling [1 ]
Zhu, Quanxin [2 ,3 ,4 ]
Duan, Mianjun [5 ]
Yao, Zhangsong [6 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Tongda Coll, Yangzhou 225127, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
[4] Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany
[5] Nanjing Artillery Acad, Nanjing 211132, Jiangsu, Peoples R China
[6] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
stochastic fourth-order parabolic equation; exponential stability; Markov chain; fixed point theory; mild solution; CAHN-HILLIARD EQUATION;
D O I：
10.1186/s13662-016-0781-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with a class of hybrid stochastic fourth-order parabolic equations with Markov switching in an infinite state space. By employing the fixed point theory we study the existence, uniqueness and pth moment exponential stability of the mild solution. Finally, we provide two examples to verify the effectiveness of our results.
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页数：10
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