| 二阶脉冲微分方程三点边值问题解的存在性 |
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| 引用本文： | 宋玉霞,闫宝强. 二阶脉冲微分方程三点边值问题解的存在性[J]. 系统科学与数学, 2008, 28(2): 168-179 |
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| 作者姓名： | 宋玉霞 闫宝强 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014 |
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| 基金项目： | 国家自然科学基金 , 山东省教育厅资助项目 |
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| 摘 要： | 建立了二阶脉冲微分方程三点边值问题的比较定理,利用单调迭代方法讨论了二阶脉冲微分方程三点边值问题解的存在性.
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| 关 键 词： | 三点边值问题 单调迭代方法 脉冲微分方程 二阶脉冲微分方程 三点边值问题 题解 存在性 DIFFERENTIAL EQUATIONS IMPULSIVE SECOND ORDER BOUNDARY VALUE PROBLEMS SOLUTIONS 方法讨论 单调迭代 利用 比较定理 |
| 收稿时间： | 2005-06-16 |
| 修稿时间： | 2005-06-16 |
Existence of Solutions of Three-Point Boundary Value Problems for Second Order Impulsive Differential Equations |
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| SONG Yuxia,YAN Baoqiang. Existence of Solutions of Three-Point Boundary Value Problems for Second Order Impulsive Differential Equations[J]. Journal of Systems Science and Mathematical Sciences, 2008, 28(2): 168-179 |
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| Authors: | SONG Yuxia YAN Baoqiang |
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| Affiliation: | School of Mathematics Science of Shandong Normal University, Ji'nan 250014 |
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| Abstract: | In this paper, firstly the comparison theorem of three-point boundary value problems for second-order impulsive differential equations is established, and then by means of a monotone iterative method, the existence of solutions of three-point boundary value problems for impulsive second order differential equations is given. |
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| Keywords: | Three-point boundary value problem monotone iterative method impulsive differential equation. |
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