| 二阶脉冲积分微分方程边值问题解的存在性 |
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| 引用本文： | 刘伟,王岩岩.二阶脉冲积分微分方程边值问题解的存在性[J].信阳师范学院学报(自然科学版),2012(1):24-30. |
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| 作者姓名： | 刘伟 王岩岩 |
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| 作者单位： | 周口师范学院数学系;上海交通大学电子信息与电气工程学院自动化系 |
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| 基金项目： | 上海市自然科学基金项目(11ZR1410200);周口师范学院青年基金重点项目(ZKNUQN201120A) |
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| 摘 要： | 考虑了一类二阶脉冲积分微分方程的边值问题,建立了比较定理,利用上下解和单调迭代的方法讨论了脉冲积分微分方程边值问题解的存在性.
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| 关 键 词： | 脉冲方程 边值问题 比较定理 上下解 单调迭代法 |
Existence of Solutions of Boundary Value Problem for Second Order Impulsive Integro-differential Equations |
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| LIU Wei,WANG Yan-yan.Existence of Solutions of Boundary Value Problem for Second Order Impulsive Integro-differential Equations[J].Journal of Xinyang Teachers College(Natural Science Edition),2012(1):24-30. |
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| Authors: | LIU Wei WANG Yan-yan |
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| Affiliation: | 1(1.Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China; 2.Department of Automation,School of Electronic Information and Electronic Engineering, Shanghai Jiaotong University,Shanghai 200240,China) |
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| Abstract: | A class of second-order impulsive integro-differential equations was considered and the comparison theorem was established.The existence of solutions for second order impulsive integro-differential equations was discussed by means of lower and upper solutions and monotone iterative technique. |
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| Keywords: | impulsive equation boundary problem comparison theorem lower and upper solutions monotone iterative technique |
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