| 一类二阶两点周期边值问题正解的存在性 |
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| 引用本文： | 胡秀林,周宗福.一类二阶两点周期边值问题正解的存在性[J].合肥学院学报(自然科学版),2008,18(3):13-17. |
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| 作者姓名： | 胡秀林 周宗福 |
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| 作者单位： | 1. 合肥学院,数学与物理系,合肥,230601
2. 安徽大学,数学科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金，安徽省教育厅青年教师科研项目，安徽大学校科研和教改项目，合肥学院自然科学研究发展基金 |
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| 摘 要： | 利用Banach空间中Krasnoselskii锥不动点定理，主要讨论了一类二阶周期边值问题正解的存在性，在一定意义上简化了判断此类周期边值问题正解存在性的条件，从而推广了该类问题的结果．
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| 关 键 词： | 二阶微分方程 周期边值问题 正解 不动点定理 |
Existence of Positive Solutions of Periodic Boundary Value Problem for a Class of Second Order Differential Equations |
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| HU Xiu-lin,ZHOU Zong-fu.Existence of Positive Solutions of Periodic Boundary Value Problem for a Class of Second Order Differential Equations[J].Journal of Hefei University :Natural Sciences,2008,18(3):13-17. |
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| Authors: | HU Xiu-lin ZHOU Zong-fu |
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| Institution: | HU Xiu-lin, ZHOU Zong-fu ( 1. Department of Mathematics and Physics, Hefei University, Hefei 230601, China; 2. School of Mathematics,Anhui University, Hefei 230039, China) |
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| Abstract: | By using a fixed point theorem of Krasnoselskii on Cone in Banach space, the existence of positive solutions of periodic boundary value problem for a class of Second-order differential equations is discussed in this paper. The established results, to some extent, simplify the sufficient conditions for the existence of positive solutions and thus generalize a conclusion for the related periodic boundary value problem. |
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| Keywords: | second order differential equations periodic boundary value problem positive solutions a fixed point |
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