| 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. |
| 关键词: 正解 非线性三点边值问题 Leray-Schauder不动点定理 |
| DOI： |
| 分类号:O175.8 |
| 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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| NEW EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS |
|
YAO Zhi-jian
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Dept. of Mathematics and Physics, Anhui Institute of Architecture and Industry, Hefei 230601, China
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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]. |
| Key words: positive solution nonlinear three-point boundary value problems LeraySchauder theorem |
