| 一类二阶脉冲微分方程解的存在性 |
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| 引用本文： | 朱焕桃,关开中. 一类二阶脉冲微分方程解的存在性[J]. 长春大学学报, 2010, 0(12): 53-56,68 |
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| 作者姓名： | 朱焕桃 关开中 |
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| 作者单位： | [1]湖南信息职业技术学院,湖南长沙410200 [2]南华大学数理学院,湖南衡阳421001 |
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| 基金项目： | 湖南省教育厅资助科研项目[10C0258] |
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| 摘 要： | 运用单调迭代技巧和上、下解方法讨论了一类二阶脉冲微分方程的周期边值问题,得到了该方程的最大值和最小值存在定理。
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| 关 键 词： | 上下解 周期边值问题 脉冲微分方程 |
The existence of solution to a class second order impulsive differential equations |
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| ZHU Huan-tao,GUAN Kai-zhong. The existence of solution to a class second order impulsive differential equations[J]. Journal of Changchun University, 2010, 0(12): 53-56,68 |
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| Authors: | ZHU Huan-tao GUAN Kai-zhong |
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| Affiliation: | 1.Hunan College of Information,Changsha 410200,China;2.School of Mathematics and Physics,University of South China,Hengyang 421001,China) |
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| Abstract: | In this paper,monotone iterative technique and the upper and lower solution method are employed to study the periodic boundary value problem for a class second order impulsive differential equations. The existence theorem on the maximal and minimal solutions is obtained. |
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| Keywords: | upper and lower solution periodic boundary value problem impulsive differential equation |
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