| 一类2n阶非线性奇异边值问题的对称正解 |
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| 引用本文： | 胡萍,王会兰,周承芳,欧阳自根. 一类2n阶非线性奇异边值问题的对称正解[J]. 南华大学学报(自然科学版), 2017, 31(3): 72-76 |
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| 作者姓名： | 胡萍 王会兰 周承芳 欧阳自根 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
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| 摘 要： | 考虑一类2n阶非线性奇异边值问题.应用不动点定理,在非线性条件下给出合适的条件并获得对称正解.将一些最近的结果进行扩展和改进.此外,还给出了一个示例来演示新的结果.
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| 关 键 词： | 奇异边值问题 对称正解 极值点 |
| 收稿时间： | 2017-07-16 |
Symmetric Positive Solutions for a Class of 2n-order NonlinearSingular Boundary Value Problems |
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| HU Ping,WANG Hui-lan,ZHOU Cheng-fang and OUYANG Zi-gen. Symmetric Positive Solutions for a Class of 2n-order NonlinearSingular Boundary Value Problems[J]. Journal of Nanhua University(Science and Technology), 2017, 31(3): 72-76 |
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| Authors: | HU Ping WANG Hui-lan ZHOU Cheng-fang OUYANG Zi-gen |
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| Affiliation: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | This paper deals with a class of 2n-order nonlinear singular boundary value problems.Applying a fixed-point theorem,the symmetric positive solution is obtained under some suitable conditions imposed on the nonlinearity.Some recent results are extended and improved.Moreover,an example is also given to demonstrate the new results. |
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| Keywords: | singular boundary value problems symmetric positive solutions extreme point |
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