P-attracting and p-invariant sets for a class of impulsive stochastic functional differential equations
P-attracting and p-invariant sets for a class of impulsive stochastic functional differential equations
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一类脉冲随机泛函微分方程的 P 吸引集和 p 不变集
DOI：
10.1016/j.camwa.2008.09.027
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发表时间：
2009
影响因子：
2.9
通讯作者：
Xu, Daoyi
中科院分区：
文献类型：
--
作者：
Xu, Liguang;Xu, Daoyi
本文考虑一类非线性非自治脉冲随机泛函微分方程。通过建立L算子微分不等式和随机分析技巧，得到了脉冲随机泛函微分方程的p-吸引集和p-不变集。文中还给出了一个算例，说明了所得结果的有效性。
In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing an L-operator differential inequality and stochastic analysis technique, we obtain the p-attracting set and p-invariant set of the impulsive stochastic functional differential equation. An example is also discussed to illustrate the efficiency of the obtained results.