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  

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

作　　者：何世峰[1] Sotiris K.Ntouyas 任永[3] 

机构地区：[1]巢湖职业技术学院基础部,巢湖238000 [2]艾奥尼纳大学数学系,艾奥尼纳,希腊45110 [3]安徽师范大学数学系,芜湖241000

出　　处：《应用数学学报》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

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.

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 

分 类 号：O211.6[理学—概率论与数理统计]