Stability in distribution of neutral stochastic partial differential delay equations driven by α -stable process

Advances in Difference Equations

Yanchao Zang¹  Junping Li¹ 

[1] School of Mathematics and Statistics, Central South University, Changsha, P.R. China

关键词: neutral stochastic partial differential equation;    α-stable process;    mild solution;    stability in distribution;   

DOI  :  10.1186/1687-1847-2014-13

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider a class of neutral stochastic partial differential equations driven by an α-stable process. We prove the existence and uniqueness of the mild solution to the equation by the Banach fixed-point theorem under some suitable assumptions. Sufficient conditions for the stability in the distribution of the mild solution are derived. MSC:39A11, 37H10.

【 授权许可】

CC BY