| 一般算子不动点定理及其在Strum-Liouville奇异边值问题中的应用 |
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| 引用本文： | 郭林,莫海平.一般算子不动点定理及其在Strum-Liouville奇异边值问题中的应用[J].应用数学学报,2007,30(5):831-835. |
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| 作者姓名： | 郭林 莫海平 |
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| 作者单位： | 1. 山东工商学院数学系,烟台,264005
2. 绥化学院数学系,黑龙江绥化,152061 |
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| 摘 要： | 本文运用Zorn引理,得出了正则锥上的非紧非单调算子的不动点的存在性的结果,并用于讨论Strum-Liouville奇异边值问题,得出了有关解的存在性的全新的结论.
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| 关 键 词： | 不动点定理 Strum-Liouville奇异边值问题 |
| 修稿时间： | 2006-01-09 |
A New Fixed point Theorem and Its Applications on Strum-Liouville Singular BVPs |
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| GUO LIN,MO HAIPING.A New Fixed point Theorem and Its Applications on Strum-Liouville Singular BVPs[J].Acta Mathematicae Applicatae Sinica,2007,30(5):831-835. |
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| Authors: | GUO LIN MO HAIPING |
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| Institution: | 1.Department of Mathematics, Institute of Business and Technology, Yantai Shandong 264005;2.Department of Mathematics, Suihua Collage, Suihua 152061 |
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| Abstract: | This paper, using Zorn Lemma, we get new fixed point theorems for noncompact and non-monotone operators on regular cones, and give its applications on deal with Strum-Liouville Singular BVPs,all the results we get are new. |
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| Keywords: | fixed point theorem Strum-Liouville singular BVP |
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