| 次线性奇异三点边值问题的正解 |
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| 引用本文： | 韦忠礼.次线性奇异三点边值问题的正解[J].数学物理学报(A辑),2008,28(1):174-182. |
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| 作者姓名： | 韦忠礼 |
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| 作者单位： | 山东建筑大学理学院,山东250101 |
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| 摘 要： | 该文主要研究二阶次线性奇异三点边值问题的正解的存在性,利用上下解方法和比较定理给出了C0,1] 和 C10,1]$ 正解存在的充分必要条件,其中的非线性项 f(t,x) 可以在 x=0, t=0 和 t=1 处奇异.
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| 关 键 词： | 奇异三点边值问题 正解 上下解 比较定理 |
| 文章编号： | 1003-3998（2008）01-174-09 |
| 收稿时间： | 2005-01-19 |
| 修稿时间： | 2006-07-05 |
Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems |
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| Wei Zhongli.Positive Solutions of Some Singular Sub-linear Three-point Boundary Value Problems[J].Acta Mathematica Scientia,2008,28(1):174-182. |
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| Authors: | Wei Zhongli |
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| Institution: | School of Sciencs, Shandong Jianzhu University, Shandong 250101
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| Abstract: | This paper investigates the existence of positive solutions for second-order singular sub-linear three-point boundary value problems. A necessary and sufficient condition for the existence of C 0,1] as well as C10,1] positive solutions is given by constructing lower and upper solutions and with the comparison theorem. The nonlinearity f(t,x) may be singular at , \ t=0 and /or t=1 . |
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| Keywords: | Singular three-point boundary value problem Positive solution Lower and upper solutions Comparison theorem |
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