Global attracting set and stability of stochastic neutral partial functional differential equations with impulses

Shujun Long, Lingying Teng and Daoyi Xu

Statistics & Probability Letters, 2012, vol. 82, issue 9, 1699-1709

Abstract: In this paper, a class of stochastic neutral partial functional differential equations with impulses is investigated. To this end, we first establish a new impulsive-integral inequality, which improve the inequality established by Chen [Chen, H.B., 2010. Impulsive-integral inequality and exponential stability for stochastic partial differential equation with delays. Statist. Probab. Lett. 80, 50–56]. By using the new inequality, we obtain the global attracting set of stochastic neutral partial functional differential equations with impulses. Especially, the sufficient conditions ensuring the exponential p-stability of the mild solution of the considered equations are obtained. Our results can generalize and improve the existing works. An example is given to demonstrate the main results.

Keywords: Global attracting set; Stochastic; Neutral; Impulse; Impulsive-integral inequality (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2012.05.018

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