| 一类二阶三点边值问题的正解存在性 |
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| 引用本文： | 高江,陈海波. 一类二阶三点边值问题的正解存在性[J]. 湖南工程学院学报(自然科学版), 2008, 18(1): 64-66 |
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| 作者姓名： | 高江 陈海波 |
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| 作者单位： | 中南大学,数学科学与计算技术学院,湖南,长沙,410075;中南大学,数学科学与计算技术学院,湖南,长沙,410075 |
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| 摘 要： | 研究一类二阶三点边值问题u”＋a（t）f（u）=0，u（0）=0，u（1）-αtueη）=b正解的存在性．应用Schauder不动点定理和不动点指数定理，在适当条件下建立了这类边值问题存在正解的充分条件．
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| 关 键 词： | 三点边值问题 正解 存在性 不动点 |
| 文章编号： | 1671-119X(2008)01-0064-03 |
| 修稿时间： | 2007-08-25 |
Positive Solutions to Second-order Three-point Boundary Value Problems |
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| GAO Jiang,CHEN Hai-bo. Positive Solutions to Second-order Three-point Boundary Value Problems[J]. Journal of Hunan Institute of Engineering(Natural Science Edition), 2008, 18(1): 64-66 |
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| Authors: | GAO Jiang CHEN Hai-bo |
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| Affiliation: | GAO Jiang, CHEN Hai - bo ( Department of Mathematics, Central South University, Changsha 410075, China) |
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| Abstract: | This paper studies the existence of positive solutions of a kind of second order three-point boundary value problem.By using Schauder fixed point theorem and fixed point index theorem,the sufficient conditions of the existence of positive solutions to the boundary value problems under suitable conditions are established. |
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| Keywords: | three-point BVP positive solutions existence fixed point |
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