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| 含导数项的二阶脉冲微分方程周期边值问题解的存在性 | |
| 引用本文： | 刘旭,周文学. 含导数项的二阶脉冲微分方程周期边值问题解的存在性[J]. 西北师范大学学报(自然科学版), 2007, 43(2): 5-8,15 |
| 作者姓名： | 刘旭 周文学 |
| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃兰州730070 |
| 摘 要： | 通过构造辅助问题,并运用Schauder不动点定理及先验估计方法得到了含导数项的二阶脉冲微分方程周期边值问题解的存在性结果. |
| 关 键 词： | 周期边值问题 脉冲 先验估计 |
| 文章编号： | 1001-988X（2007）02-0005-04 |
| 修稿时间： | 2006-10-152007-01-08 |
Existence of solutions for periodic boundary value problem of second order impulsive differential equation with derivative term |
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| LIU Xu,ZHOU Wen-xue. Existence of solutions for periodic boundary value problem of second order impulsive differential equation with derivative term[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2007, 43(2): 5-8,15 | |
| Authors: | LIU Xu ZHOU Wen-xue |
| Affiliation: | School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China |
| Abstract: | The auxiliary problem of periodic boundary value problem for second order impulsive differential equation with derivative term is introduced, the existence of solutions is obtained by using the Schauder fixed point theorem coupled with a priori estimate. |
| Keywords: | periodic boundary value problem impulsive priori estimate |
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