二阶常微分方程的三点边值问题的正解 |
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引用本文: | 李刚钊,欧阳自根. 二阶常微分方程的三点边值问题的正解[J]. 衡阳工学院学报, 2011, 0(4): 81-84 |
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作者姓名: | 李刚钊 欧阳自根 |
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作者单位: | 南华大学数理学院,湖南衡阳421001 |
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摘 要: | 讨论了对偶二阶常微分方程的三点边值问题的正解,通过将微分方程转化为等价的积分方程,利用锥不动点定理,获得了方程解的存在性的充分条件.
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关 键 词: | 正解 三点边值问题 锥不动点定理 |
The Positive Solutions for Three-point Boundary Value Problems |
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Affiliation: | LI Gang-zhao,OUYANG Zi-gen(School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China) |
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Abstract: | In this paper,we will discuss the solutions for three-point boundary value problem,and by use of Krasnoselskii fixed point therem we obtain the existence of the solutions. |
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Keywords: | positive solutions there-point boundary value problems cone fixed point theorm |
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