p th moment exponential stability of hybrid stochastic fourth-order parabolic equations

Advances in Difference Equations

Mianjun Duan¹  Zhangsong Yao²  Quanxin Zhu³  Ling Wei⁴ 

[1] Department of Mathematics, University of Bielefeld, Bielefeld, Germany;Nanjing Artillery Academy, Nanjing, China;School of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing, China;Tongda College of Nanjing University of Posts and Telecommunications, Yangzhou, China

关键词: stochastic fourth-order parabolic equation;    exponential stability;    Markov chain;    fixed point theory;    mild solution;   

DOI  :  10.1186/s13662-016-0781-y

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY