一类具有无穷时滞中立型非稠定脉冲随机泛函微分方程积分解的存在性被引量：1

Existence Results on the Integral Solutions for a Class of Non-densely Defined Impulsive Neutral Stochastic Functional Differential Equations with Infinite Delay

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摘要本文讨论了一类具有无穷时滞中立型非稠定脉冲随机泛函微分方程,利用Sadovskii不动点原理等工具得到了其积分解的存在性,给出其在一类二阶无穷时滞中立型非稠定脉冲随机偏微分方程积分解的存在性中的应用. In this paper, we prove the existence of integral solutions for a class of non- densely defined impulsive neutral stochastic functional differential equations with infinite delay. The results are derived by means of the Sadovskii fixed point theorem. As an appli- cation, the existence result of integral solutions for a class of non-densely defined impulsive neutral second-order stochastic partial differential equations with infinite delay is estab- lished.

作者何世峰 Sotiris K.Ntouyas 任永

机构地区巢湖职业技术学院基础部艾奥尼纳大学数学系安徽师范大学数学系

出处《应用数学学报》 CSCD 北大核心 2012年第4期703-718,共16页 Acta Mathematicae Applicatae Sinica

基金国家自然科学基金(10901003) 安徽省杰出青年基金(1108085J08) 教育部科学技术研究重点项目(211077) 安徽省自然科学基金(10040606Q30)资助项目

关键词泛函随机微分方程中立型方程脉冲方程积分解非稠定算子 stochastic functional differential equation neutral equation impulsive equation integral solution non-densely defined operator

分类号 O211.6 [理学—概率论与数理统计]

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