| 一类奇异边值问题的研究 |
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| 引用本文： | 方运生.一类奇异边值问题的研究[J].安徽工程科技学院学报,2004,19(3):19-24. |
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| 作者姓名： | 方运生 |
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| 作者单位： | 池州师范专科学校,数学系,安徽,池州,247000 |
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| 摘 要： | 对一类奇异两点边值问题,在很一般的条件下,证明了摄动问题的可解性与一类全连续映象不动点的存在性是等价的,并且给出了摄动问题的可解性与原问题的可解性之间的关系.
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| 关 键 词： | 奇异方程 边值问题 正解 |
| 文章编号： | 1672-2477(2004)03-0019-06 |
| 修稿时间： | 2004年4月20日 |
Singular boundary value problems |
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| FANG Yun-sheng.Singular boundary value problems[J].Journal of Anhui University of Technology and Science,2004,19(3):19-24. |
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| Authors: | FANG Yun-sheng |
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| Abstract: | This paper deals with the existence of positive solutions for a class of singular two point boundary value problems. It is shown that existence criteria can be established by using fixed point theory of completely continuous operators for the perturbed problems. The relations between the perturbed problems and the original problems have been given.The theorems obtained are very general. |
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| Keywords: | Singular equation boundary problem positive solution |
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