| 非线性奇异三点边值问题正解的存在性 |
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| 引用本文： | 李翠哲,游丽霞. 非线性奇异三点边值问题正解的存在性[J]. 北京理工大学学报, 2004, 24(12): 1107-1110 |
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| 作者姓名： | 李翠哲 游丽霞 |
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| 作者单位： | 北京理工大学,理学院,北京,100081;北京理工大学,理学院,北京,100081 |
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| 摘 要： | 研究非线性奇异三点边值问题正解的存在性.首先将边值问题转化为相应的算子方程,然后根据Kransnosel'skii不动点定理得出算子方程不动点的存在性,从而给出边值问题正解存在的充分条件.
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| 关 键 词： | 非线性三点边值问题 奇异 锥 正解 |
| 文章编号： | 1001-0645(2004)12-1107-04 |
| 收稿时间： | 2004-02-19 |
| 修稿时间： | 2004-02-19 |
Existence of Positive Solutions for a Nonlinear Singular Three Point Boundary Value Problem |
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| LI Cui-zhe and YOU Li-xia. Existence of Positive Solutions for a Nonlinear Singular Three Point Boundary Value Problem[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2004, 24(12): 1107-1110 |
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| Authors: | LI Cui-zhe and YOU Li-xia |
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| Affiliation: | School of Science, Beijing Institute of Technology, Beijing100081, China;School of Science, Beijing Institute of Technology, Beijing100081, China |
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| Abstract: | The existence of positive solutions for a nonlinear singular three point boundary value problem is studied. After turning the boundary value problems into equivalent operator equations, the existence of the fixed point for the operator equations is obtained. Besides, the sufficient conditions which guarantee the existence of positive solutions for this problem are provided. |
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| Keywords: | nonlinear three point boundary value problem singular cone positive solution |
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