| 一类周期边值问题解的存在性与唯一性 |
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| 引用本文： | 孙永征,孙经先.一类周期边值问题解的存在性与唯一性[J].徐州师范大学学报(自然科学版),2005,23(4):28-31. |
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| 作者姓名： | 孙永征 孙经先 |
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| 作者单位： | 1. 中国矿业大学,理学院,江苏,徐州,221008
2. 徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金资助项目（10371066） |
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| 摘 要： | 考虑了一类非线性微分方程周期边值问题，用不动点定理给出了其解存在时参数e，α的取值范围；用压缩映像原理给出了该问题解唯一时参数e，α的取值范围．
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| 关 键 词： | 周期边值问题 不动点定理 压缩映像原理 |
| 文章编号： | 1007-6573(2005)04-0028-04 |
| 收稿时间： | 03 4 2005 12:00AM |
| 修稿时间： | 2005年3月4日 |
Existence and Uniqueness of Solutions for a Class of Periodic Boundary Value Problems |
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| SUN Yong-zheng,SUN Jing-xian.Existence and Uniqueness of Solutions for a Class of Periodic Boundary Value Problems[J].Journal of Xuzhou Normal University(Natural Science Edition),2005,23(4):28-31. |
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| Authors: | SUN Yong-zheng SUN Jing-xian |
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| Institution: | 1. College of Science, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China; 2. Department of mathematics, Xuzhou Normal Universily, Xuzhou, Jiangsu, 221116, China |
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| Abstract: | In this paper,the periodic boundary value problems of a nonlinear differential equation are considered. The region of the admissible values of the parameters e and a for which periodic boundary value problems have a solution is given by a fixed point theorem. And the region where the periodic boundary value problems have a unique solution is given by the contraction mapping theory. |
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| Keywords: | periodic boundary value problem fixed point theorem contraction mapping theory |
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