| Positive Solution of Singular Boundary Value Problems on a Half-Line |
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| 作者姓名： | Zhong-li Wei Shao-zhu Chen |
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| 作者单位： | [1]Department of Mathematics and Physics, Shandong Institute of Architectural and Engineering, Jinan, 250014,China [2]Department of Mathematics, Shandong University at Weihai, Weihai, 264209, China |
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| 基金项目： | Supported by the Natural Science Pund of Shandong Province （Y2004A01） and the Xiao Nei Foundation of Shandong Institute of Architectural and Engineering （XN20040101）Acknowledgment. The authors would like to thank the referee for some helpful comments and suggestions. |
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| 摘 要： | This paper investigates existence of positive solutions of singular sub-linear boundary value problems on a half-line. Necessary and sufficient conditions for the existence of positive continuous solutions or smooth solutions on 0, ∞] are given by constructing new lower and upper solutions.
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| 关 键 词： | 奇异边值问题 正解 存在性 连续解 光滑解 |
| 收稿时间： | 2003-08-11 |
| 修稿时间： | 2003-08-112005-03-08 |
Positive Solution of Singular Boundary Value Problems on a Half-Line |
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| Zhong-li Wei Shao-zhu Chen.Positive Solution of Singular Boundary Value Problems on a Half-Line[J].Acta Mathematicae Applicatae Sinica,2005,21(4):553-564. |
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| Authors: | Zhong-li Wei Shao-zhu Chen |
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| Institution: | (1) Department of Mathematics and Physics, Shandong Institute of Architectural and Engineering, Jinan, 250014, China;(2) Department of Mathematics, Shandong University at Weihai, Weihai, 264209, China |
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| Abstract: | Abstract
This paper investigates existence of positive solutions of singular sub-linear boundary value problems on a half-line. Necessary
and sufficient conditions for the existence of positive continuous solutions or smooth solutions on 0, ∞) are given by constructing
new lower and upper solutions.
Supported by the Natural Science Fund of Shandong Province (Y2004A01) and the Xiao Nei Foundation of Shandong Institute of
Architectural and Engineering (XN20040101) |
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| Keywords: | Singular boundary value problem on a half-line positive solution lower and upper solutions |
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