Periodic Boundary Value Problem for Second-order Impulsive Integro-differential Equation  

作　　者：ZHANG Lin-li LIU An-ping LIU Wei-an 

机构地区：[1]Department of Basic Course, Haikou College of Economics, Haikou 571127, China [2]School of Math-ematics and Physics, China University of Geosciences, Wuhan 430074, China [3]School of Mathematicsand Statistics, Wuhan University, Wuhan 430072, China

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第2期227-235,共9页数学季刊（英文版）

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

摘　　要：In this paper, the properties of solution of periodic boundary value problem for second-order impulsive integro-differential equation are discussed. Using the iterative analysis method, the existence and uniqueness of periodic 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.In this paper, the properties of solution of periodic boundary value problem for second-order impulsive integro-differential equation are discussed. Using the iterative analysis method, the existence and uniqueness of periodic 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：iterative analysis periodic boundary value problem EXISTENCE STABILITY 

分 类 号：O175.8[理学—数学]