| 2n阶边值问题正解的存在性与多解性 |
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| 引用本文： | 陈春香.2n阶边值问题正解的存在性与多解性[J].黑龙江科技学院学报,2010,20(5):399-402. |
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| 作者姓名： | 陈春香 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州221116 |
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| 摘 要： | 为了研究一类非线性2n阶两点边值问题正解的存在性，通过建立一个特殊锥。利用锥压缩与锥拉伸不动点定理，得到了该问题一个或多个正解存在的充分条件，拓展了已有结果。
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| 关 键 词： | 边值问题 不动点定理 正解 存在性 |
Existence and multiplicity of positive solutions for 2nth-order boundary value problems |
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| CHEN Chunxiang.Existence and multiplicity of positive solutions for 2nth-order boundary value problems[J].Journal of Heilongjiang Institute of Science and Technology,2010,20(5):399-402. |
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| Authors: | CHEN Chunxiang |
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| Institution: | CHEN Chunxiang ( College of Sciences, China University of Mining ＆ Technology, Xuzhou 221116, China) |
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| Abstract: | This paper is an attempt to 4nvestigate the existence and multiplicity of positive solutions for 2nth-order boundary value problems with two points. The construction of special cone and the use of the fixed-point theorem of cone expansion or compression type lead to the sufficient conditions of the problem, expanding the existing results. |
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| Keywords: | boundary-value problem fix-point theorem positive solution existence |
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