| 一类奇异二阶边值问题的多重解 |
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| 引用本文： | 石金娥,崔国忠,黄振友.一类奇异二阶边值问题的多重解[J].河南科学,2010,28(3):258-261. |
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| 作者姓名： | 石金娥 崔国忠 黄振友 |
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| 作者单位： | 1. 信息工程大学,理学院数理系,郑州,450001
2. 南京理工大学,理学院,南京,210094 |
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| 基金项目： | 南京理工大学科技发展基金资助 |
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| 摘 要： | 利用变分方法得到了一类非线性奇异二阶边值问题多重解的个数至少是2n,并应用该结论说明了一个具体的边值问题至少有14个解.
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| 关 键 词： | 奇异二阶边值问题 变分原理 临界点 |
Existence of Multiple Solutions of a Class of Singular Second Order Boundary Value Problems |
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| Shi jin＇e,Cui Guozhong,Huang Zhenyou.Existence of Multiple Solutions of a Class of Singular Second Order Boundary Value Problems[J].Henan Science,2010,28(3):258-261. |
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| Authors: | Shi jin＇e Cui Guozhong Huang Zhenyou |
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| Institution: | 1. Department of Mathematics and Physics, Science College, Information Engineering University, Zhengzhou 450001, China 2. Science College, Nanjing Science and Engineering University, Nanjing 210094, China) |
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| Abstract: | By using variational structure,this paper obtains conditions for existence of multiple solutions of a class of singular second order boundary value problems. |
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| Keywords: | singular second order equation on [0 1] variational structure critical points |
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