| 一类非共振奇异四阶边值问题 |
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| 引用本文： | 邓廷勇,张妲妤. 一类非共振奇异四阶边值问题[J]. 黑龙江八一农垦大学学报, 2011, 23(1): 94-95,103 |
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| 作者姓名： | 邓廷勇 张妲妤 |
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| 作者单位： | 1. 黑龙江八一农垦大学文理学院,大庆,163319;东北石油大学数学科学与技术学院
2. 绥化学院数学与信息科学系 |
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| 摘 要： | 研究一类非共振奇异四阶边值问题,给出正解存在的充分条件,并利用锥不动点定理证明其正解的存在性.
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| 关 键 词： | 四阶边值问题 正解存在性 锥不动点定理 |
Existence of a Positive Solution to Non-resonant Singular Fourth Order Boundary Value Problems |
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| Deng Tingyong,Zhang Hengyu. Existence of a Positive Solution to Non-resonant Singular Fourth Order Boundary Value Problems[J]. journal of heilongjiang bayi agricultural university, 2011, 23(1): 94-95,103 |
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| Authors: | Deng Tingyong Zhang Hengyu |
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| Affiliation: | Deng Tingyong1.2,Zhang Hengyu3(1.College of Arts and Science,Heilongjiang Bayi Agriculture University,Daqing163319;2.College of Mathematical Science and Technology,Northeast Petroleum University;3.Department of Mathematics and Information Science,Suihua University) |
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| Abstract: | In this paper,we have studied a class of non-resonant singular fourth-order boundary value problems by giving sufficient conditions for existence of a positive solution and we have used the fixed-point theorem in the cone to prove the existence of its positive solution. |
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| Keywords: | fourth-order boundary value problem existence of a positive solution fixed-point theorem in the cone |
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