Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays

Journal of inequalities and applications

Li Wang¹ 

关键词: attracting;    quasi-invariant;    infinite delays;    stochastic;    impulsive;   

DOI  :  10.1186/1029-242X-2013-338

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate a class of impulsive stochastic partial differential equations with infinite delays. First, we establish two impulsive-integral inequalities. Then, as applications, the attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays are obtained, respectively. The results in (Chen in Stat. Probab. Lett. 80:50-56, 2010) are generalized.

【 授权许可】

CC BY