| 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 |
| DOI： |
| 分类号:O175.8 |
| 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) |
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| BOUNDARY VALUE PROBLEM FOR FIRST-ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION WITH DELAY |
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ZHANG Lin-li1, LIU An-ping2, MA Qing-xia2, FAN Rui-li2
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1.Department of Basic Course, Haikou College of Economics, Haikou 571127, China;2.School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
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| 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. |
| Key words: iterative analysis boundary value problem existence stability |
