| 奇异四点边值问题的正解 |
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| 引用本文： | 邹玉梅.奇异四点边值问题的正解[J].数学的实践与认识,2009,39(11). |
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| 作者姓名： | 邹玉梅 |
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| 作者单位： | 山东科技大学,信息科学与工程学院,青岛,266510 |
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| 摘 要： | 应用不动点指数方法,在与相应线性算子第一特征值有关的条件下,得到一类奇异四点边值问题正解的存在性结果,本质地推广和改进了已有文献中的主要结论.特别地,给出了边值问题Green函数的精确表达式.
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| 关 键 词： | 边值问题 不动点指数 正解 锥 |
Positive Solutions of Singular Four-point Boundary Value Problems |
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| ZOU Yu-mei.Positive Solutions of Singular Four-point Boundary Value Problems[J].Mathematics in Practice and Theory,2009,39(11). |
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| Authors: | ZOU Yu-mei |
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| Abstract: | The existence of positive solutions for a class of second-order four-point boundary value problem is obtained by applying the fixed point index theory and the associated Green′s function. In particular, we obtain the explicit formula of Green function of the problem, which makes the problem simpler. |
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| Keywords: | Second-order singular equation four-point boundary value problem Positive solution Cone Fixed point index |
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