| 一阶脉冲时滞微分方程的周期边值问题 |
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| 引用本文： | 张小芝,叶梅燕,罗清雨.一阶脉冲时滞微分方程的周期边值问题[J].曲阜师范大学学报,2007,33(4):23-28. |
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| 作者姓名： | 张小芝 叶梅燕 罗清雨 |
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| 作者单位： | 南昌大学数学系,江西省南昌市330047 |
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| 基金项目： | 南昌大学校科研和教改项目 |
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| 摘 要： | 利用上下解方法及单调迭代技巧，讨论了一类一阶脉冲时滞微分方程的周期边值问题，获得了其极大解与极小解的存在性，这样可将方程的解控制在极小解与极大解之间.
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| 关 键 词： | 上下解方法 周期边值问题 脉冲时滞微分方程 |
| 文章编号： | 1001-5337（2007）04-0023-06 |
| 修稿时间： | 2006-05-21 |
Periodic Boundary Value Problems on Impulsive Delay Differential Equations of First-order |
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| ZHANG Xiao-zhi,YE Mei-yan,LUO Qing-yu.Periodic Boundary Value Problems on Impulsive Delay Differential Equations of First-order[J].Journal of Qufu Normal University(Natural Science),2007,33(4):23-28. |
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| Authors: | ZHANG Xiao-zhi YE Mei-yan LUO Qing-yu |
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| Institution: | Department of Mathematics, Nanchang University, 330047, Nanchang, Jiangxi, PRC |
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| Abstract: | By using the method of upper and lower solutions, the periodic boundary value problem for first-order impulsive delay differential equations is considered, and the existence of the maximal and minimal solutions is obtained. The solutions of the equation can be controlled between the maximal and minimal solutions. |
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| Keywords: | the method of upper and lower solutions periodic boundary value problem delay differential equation with impulse |
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