| 二阶脉冲边值问题解的存在性 |
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| 引用本文： | 陈玉文,李建利.二阶脉冲边值问题解的存在性[J].南京师大学报,2007,30(4):28-31. |
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| 作者姓名： | 陈玉文 李建利 |
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| 作者单位： | [1]淮阴工学院计算科学系,江苏淮安223001 [2]湖南师范大学数学系,湖南长沙410081 |
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| 摘 要： | 研究了一类二阶非线性脉冲微分方程边值问题解的存在性.利用不动点定理,通过对非线性项和脉冲函数的适当假设, 证明了至少一个正解的存在性,推广和改进了一些相应文献的结果.
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| 关 键 词： | 脉冲微分方程 边值问题 不动点定理 impulsive differential equations boundary value problems fixed point theorem 二阶 脉冲 边值 题解 存在性 Boundary Value Problems Differential Equations Impulsive generalize improve known results show existence positive solution conditions nonlinear term functions fixed point theorem class |
| 文章编号： | 1001-4616（2007）04-0028-04 |
| 收稿时间： | 2007-06-28 |
| 修稿时间： | 2007-08-12 |
Existences of Solutions for Second-Order Impulsive Differential Equations With Boundary Value Problems |
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| Chen Yuwen,Li Jianli.Existences of Solutions for Second-Order Impulsive Differential Equations With Boundary Value Problems[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(4):28-31. |
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| Authors: | Chen Yuwen Li Jianli |
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| Abstract: | In this paper, a class of boundary value problem of second-order impulsive nonlinear differential equation was studied. By using the Krasnoselskii fixed point theorem, we show the existence of at least one positive solution with suitable conditions impose on the nonlinear term and impulsive functions, which generalize and improve some known results. |
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| Keywords: | impulsive differential equations boundary value problems fixed point theorem |
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