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 Nonlinear Singular Boundary Value Problems

作　　者：胡萍[1] 王会兰[1] 周承芳 欧阳自根[1] 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2017年第3期73-77,共5页Journal of University of South China：Science and Technology

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.This paper deals with a class of 2 n-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.

关 键 词：奇异边值问题 对称正解 极值点 

分 类 号：O175.8[理学—数学]