一类具有积分边值条件的二阶奇异微分方程正解的存在性  

Existence of Positive Solutions for A Class of Second Order Singular Differential Equations with Nonlinear Integral Boundary Conditions

作　　者：林秋莲[1] 王全义[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2013年第6期696-700,共5页Journal of Huaqiao University(Natural Science)

基　　金：国务院侨办科研基金资助项目(09QZR10)

摘　　要：研究一类具有非线性积分边值条件的二阶奇异微分方程正解的存在性问题.应用Schauder不动点定理及一些分析技巧,建立该边值问题存在正解的一些充分条件,所得结果推广和改进了KONG Ling-ju的研究成果.We study the problem on the existence of positive solutions for a class of second-order singular differential e- quations with nonlinear integral boundary conditions. By using Schauder fixed point theorem and some analysis tech- niques, we provide sufficient conditions for the existence of positive solutions to the above boundary value problems. Our results generalize and improve the one made by KONG Ling-ju.

关 键 词：SCHAUDER不动点定理 奇异 非线性积分边值 正解 

分 类 号：O175[理学—数学]