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一阶脉冲时滞积分微分方程边值问题
引用本文:张林丽,刘安平,马晴霞,樊瑞利.一阶脉冲时滞积分微分方程边值问题[J].数学杂志,2014,34(2):265-271.
作者姓名:张林丽  刘安平  马晴霞  樊瑞利
作者单位:海口经济学院基础课部;中国地质大学(武汉)数学与物理学院;
基金项目: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.

关 键 词:迭代分析方法  边值问题  存在性  稳定性
收稿时间:2013/5/20 0:00:00
修稿时间:2013/6/13 0:00:00

BOUNDARY VALUE PROBLEM FOR FIRST-ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION WITH DELAY
ZHANG Lin-li,LIU An-ping,MA Qing-xia and FAN Rui-li.BOUNDARY VALUE PROBLEM FOR FIRST-ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION WITH DELAY[J].Journal of Mathematics,2014,34(2):265-271.
Authors:ZHANG Lin-li  LIU An-ping  MA Qing-xia and FAN Rui-li
Institution:Department of Basic Course, Haikou College of Economics, Haikou 571127, China,School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China,School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China and School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
Abstract: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.
Keywords:iterative analysis  boundary value problem  existence  stability
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