Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays. (English) Zbl 1297.60043
Summary: 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 [H.-B. Chen, Stat. Probab. Lett. 80, No. 1, 50–56 (2010; Zbl 1177.93075)] are generalized.
MSC:
60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
Citations:
Zbl 1177.93075References:
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.