一阶脉冲时滞积分微分方程边值问题(英文)  

BOUNDARY VALUE PROBLEM FOR FIRST-ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION WITH DELAY

作　　者：张林丽[1] 刘安平[2] 马晴霞[2] 樊瑞利 

机构地区：[1]海口经济学院基础课部,海南海口571127 [2]中国地质大学(武汉)数学与物理学院,湖北武汉430074

出　　处：《数学杂志》2014年第2期265-271,共7页Journal of Mathematics

基　　金：Supported by the Hainan Natural Science Foundation(112006);Natural Science Foundation of Hainan Provincial Department of Education(Hjkj2013-47);National Basic Research Program of China(973 Program)(2011CB710600)

摘　　要：本文研究了一类一阶脉冲时滞积分微分方程边值问题解的性质.利用迭代分析方法,得到了该类边值问题解的存在性、唯一性和平凡解一致稳定的充分条件,推广了已有积分微分方程周期边值问题解的结论.In this paper, the properties of solution of boundary value problem for first- order impulsive integro-differential equation with delay are discussed. Using the iterative analysis method, the existence and uniqueness of solution and the sufficient condition for uniform stability of trivial solution are obtained, which extend the previous results on integro-differential equation in periodic boundary value problem.

关 键 词：迭代分析方法 边值问题 存在性 稳定性 

分 类 号：O175.8[理学—数学]