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Wang, Li; Li, Dingshi

Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays. (English) Zbl 1297.60043

J. Inequal. Appl. 2013, Paper No. 338, 11 p. (2013).
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.

Cited in 9 Documents

MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)

Keywords:

attracting; quasi-invariant; infinite delays; stochastic; impulsive

Citations:

Zbl 1177.93075
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Full Text: DOI

References:

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