| 一类非线性三点边值问题单调递增正解的存在性 |
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| 引用本文： | 梁月亮,续晓欣.一类非线性三点边值问题单调递增正解的存在性[J].科学技术与工程,2009,9(11). |
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| 作者姓名： | 梁月亮 续晓欣 |
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| 作者单位： | 中北大学理学院数学系,太原,030051 |
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| 摘 要： | 考察了一类非线性常微分方程的三点边值问题,通过考察非线性项在有界集上的性质.运用Leray-Schauder非线性抉择及格林函数的性质,获得了单调递增正解存在性的新结果.推广改进了以前文献的相关结果.
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| 关 键 词： | 三点边值问题 正解 不动点定理 |
Existence of Monotone Increasing Positive Solution for Nonlinear Three-point Boundary Value Problems |
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| LIANG Yue-liang,XU Xiao-xin.Existence of Monotone Increasing Positive Solution for Nonlinear Three-point Boundary Value Problems[J].Science Technology and Engineering,2009,9(11). |
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| Authors: | LIANG Yue-liang XU Xiao-xin |
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| Institution: | Department of Mathematics;North University of China;Taiyuan 030051;P.R.China |
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| Abstract: | A class of nonlinear three-point boundary value problems is considered,and the existence of monotone increasing positive solution is obtained by making use of the Leray-Schauder nonlinear alternative and the properties of Green function.The known ones are generalized and improved. |
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| Keywords: | three-point boundary value problems positive solutions fixed point theorem |
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