| 非线性三点边值问题正解的新的存在性定理 |
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| 引用本文： | 姚志健.非线性三点边值问题正解的新的存在性定理[J].数学杂志,2014,34(1):173-178. |
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| 作者姓名： | 姚志健 |
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| 作者单位： | 安徽建筑工业学院数理系 |
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| 基金项目： | 安徽省自然科学基金项目(11040606M01);安徽省教育厅自然科学项目(KJ2008B236) |
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| 摘 要： | 本文研究了一类非线性二阶三点边值问题的正解的存在性.运用Leray-Schauder不动点定理获得了存在正解的充分条件,改进了文献1]中的结果.
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| 关 键 词： | 正解 非线性三点边值问题 Leray-Schauder不动点定理 |
| 收稿时间： | 2012/4/12 0:00:00 |
| 修稿时间： | 2012/6/20 0:00:00 |
NEW EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS |
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| YAO Zhi-jian.NEW EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS[J].Journal of Mathematics,2014,34(1):173-178. |
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| Authors: | YAO Zhi-jian |
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| Institution: | YAO Zhi-jian;Dept. of Mathematics and Physics,Anhui Institute of Architecture and Industry; |
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| Abstract: | In this paper, we investigate the existence of positive solutions for second-order nonlinear three-point boundary value problems. By using Leray-Schauder theorem, some sufficient conditions for the existence of positive solutions are obtained, which improve the results in 1]. |
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| Keywords: | positive solution nonlinear three-point boundary value problems LeraySchauder theorem |
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