| 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.[HU Ping,WANG Hui-lan,ZHOU Cheng-fang,OUYANG Zi-gen.Symmetric Positive Solutions for a Class of 2n-order NonlinearSingular Boundary Value Problems[J].Journal of University of South China(Science and Technology),2017,31(3):72~76.] |
| 一类2n阶非线性奇异边值问题的对称正解 |
| Symmetric Positive Solutions for a Class of 2n-order NonlinearSingular Boundary Value Problems |
| 投稿时间：2017-07-16 |
| DOI： |
| 中文关键词: 奇异边值问题 对称正解 极值点 |
| 英文关键词:singular boundary value problems symmetric positive solutions extreme point |
| 基金项目: |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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