具有时滞的随机脉冲微分方程适度解的存在唯一性  

Existence and Uniqueness of Solution for Random Impulsive Neutral Functional Differential Equations with Delay

作　　者：李文胜[1] 周千[1] 杨青[1] Li Wensheng Zhou Qian Yang Qing(Faculty of Science,Xi＇an Aeronautical University,Xi’an 710077, China)

机构地区：[1]西安航空学院理学院,西安710077

出　　处：《河南科学》2016年第10期1605-1609,共5页Henan Science

基　　金：陕西省教育厅科研项目(15JK1379);西安航空学院科研基金(2014KY1210)

摘　　要：利用Banach压缩映射原理研究一类具有时滞的随机脉冲泛函微分方程适度解的存在性唯一性.先将其转化为积分方程,然后证明该积分解的存在性.最后证明了积分解的唯一性和解对初值的连续依赖性.This paper is concerned with existence and uniqueness of solution for a first order random impulsive neutral functional differential equations with delay. First,the system were transform into integral equations,next,we use the Banach contraction mapping theorem to prove the existence of the mild solution. Finally ,we consider the uniqueness of mild solution and the continuous dependence to initial value.

关 键 词：随机脉冲 适度解 发展系统 

分 类 号：O175.22[理学—数学]