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| 一类二阶多点边值问题正解的存在性 | |
| 引用本文： | 刘伟,王岩岩,李学志.一类二阶多点边值问题正解的存在性[J].信阳师范学院学报(自然科学版),2011,24(2):167-171. |
| 作者姓名： | 刘伟 王岩岩 李学志 |
| 作者单位： | 1. 周口师范学院数学系,河南周口466001;上海交通大学电子信息与电气工程学院自动化系,上海200240 2. 周口师范学院数学系,河南周口,466001 3. 信阳师范学院数学与信息科学学院,河南信阳,464000 |
| 基金项目： | 国家自然科学基金项目，河南省教育厅自然科学基金项目 |
| 摘 要： | 利用Guo-Krasonsel’skill不动点定理和Schauder’s不动点定理,对于一类二阶多点边值问题在非齐次边值条件下,建立了正解存在的充分条件. |
| 关 键 词： | 单调正解 多点非齐次边值问题 不动点定理 存在性 |
The Existence of Positive Solutions for One Kind of Second-order Multi-point Boundary Value Problems |
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| LIU Wei,WANG Yan-yan,LI Xue-zhi.The Existence of Positive Solutions for One Kind of Second-order Multi-point Boundary Value Problems[J].Journal of Xinyang Teachers College(Natural Science Edition),2011,24(2):167-171. | |
| Authors: | LIU Wei WANG Yan-yan LI Xue-zhi |
| Institution: | LIU Wei1,2,WANG Yan-yan1,LI Xue-zhi3(1.Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China,2.Department of Automation,School of Electronic and Electronic Engineering,Shanghai Jiaotong University,Shanghai 200240,3.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China) |
| Abstract: | In terms of the Guo-Krasonsel' skill fixed point theorem and the Schauder's fixed point theorem,the sufficient conditions on the existence of positive solutions for one kind of second-order multi-point boundary value problems with nonhomogeneous boundary conditions are obtained. |
| Keywords: | monotone positive solutions multi-point nonhomogeneous boundary value problems fixed point theorem existence |
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