| 一类半无穷区间奇异边值问题正解的存在性 |
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| 引用本文： | 杨变霞,陈瑞鹏.一类半无穷区间奇异边值问题正解的存在性[J].应用泛函分析学报,2012,14(3):225-233. |
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| 作者姓名： | 杨变霞 陈瑞鹏 |
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| 作者单位： | 西北师范大学 数学与信息科学学院,甘肃兰州,730070 |
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| 摘 要： | 在半无穷区间上讨论带有非齐次边界条件的奇异边值问题正解的存在性，多解性及不存在性．主要结果的证明基于上下解方法，Schauder不动点定理及拓扑度理论．
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| 关 键 词： | 非齐次边界条件 半无穷区间奇异边值问题 拓扑度理论 上下解方法 存在性 |
Existence of Positive Solutions for a Singular Boundary Value Problem on the Half-line |
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| YANG Bianxia
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CHEN Ruipeng.Existence of Positive Solutions for a Singular Boundary Value Problem on the Half-line[J].Acta Analysis Functionalis Applicata,2012,14(3):225-233. |
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| Authors: | YANG Bianxia CHEN Ruipeng |
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| Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China 2.College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China |
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| Abstract: | In this paper, we study the existence, multiplicity and nonexistence of positive solution of singular boundary value problem on the half-line with nonhomogeneous boundary conditions. The proof of our main result is based upon lower and upper solutions method, Schauder＇s fixed point theorem and topological degree theory. |
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| Keywords: | nonhomogeneous boundary conditions singular boundary value problem on the halfline topological degree theory lower and upper solutions method existence |
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