| 二阶奇异微分方程边值问题正解的存在性 |
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| 引用本文： | 康平,刘立山.二阶奇异微分方程边值问题正解的存在性[J].数学物理学报(A辑),2008,28(1):73-080. |
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| 作者姓名： | 康平 刘立山 |
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| 作者单位： | 曲阜师范大学数学科学学院,曲阜273165 |
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| 基金项目： | 国家自然科学基金
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高等学校博士点专项 |
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| 摘 要： | 该文通过构造一个特殊的锥,利用锥压缩与锥拉伸不动点定理,研究了一类二阶奇异微分方程边值问题两个正解的存在性,改进了最近的一些结果.
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| 关 键 词： | 锥 奇异边值问题 正解 |
| 文章编号： | 1003-3998（2008）01-073-08 |
| 收稿时间： | 2005-11-05 |
| 修稿时间： | 2007-02-14 |
The Existence of Positive Solutions to Boundary Value Problems
of Second Order Singular Differential Equations |
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| Kang Ping,Liu Lishan.The Existence of Positive Solutions to Boundary Value Problems
of Second Order Singular Differential Equations[J].Acta Mathematica Scientia,2008,28(1):73-080. |
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| Authors: | Kang Ping Liu Lishan |
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| Institution: | School of Mathematical Sciences, Qufu Normal University, Qufu 273165 |
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| Abstract: | In this paper, by constructing a special cone and using the fixed point theorems of cone expansion and cone compression, the existence of two positive solutions to a class of boundary value problem of second order singular differential equations is investigated. The results presented here improve some recent results. |
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| Keywords: | Cone Singular boundary value problem Positive solutions |
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