Symmetric Positive Solutions for a Singular Second-Order Three-Point Boundary Value Problem  

作　　者：Yong-ping Sun 

机构地区：[1]Department of Mathematics, Qufu Normal University, Qufu, 273165, China and Department of Fundamental Courses, Hangzhou Radio & TV University, Hangzhou 310012, China

出　　处：《Acta Mathematicae Applicatae Sinica》2006年第1期65-74,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10471075);National Natural Science Foundation of Shandong Province of China(No.Y2003A01);Foundation of Education Department of Zhejiang Province of China(No.20040495,No.20051897)

摘　　要：In this paper, we consider the following second order three-point boundary value problem u″（t）＋a（t）f（u（t））=0,0〈t〈1,u（0）-u（1）=0,u＇（0）-u＇（1）=u（1/2）,where a ： （0, 1） → [0, ∞） is symmetric on （0, 1） and may be singular at t = 0 and t = 1, f ： [0, ∞） → [O, ∞） is continuous. By using Krasnoselskii＇s fixed point theorem ia a cone, we get some existence results of positive solutions for the problem. The associated Green＇s function for the three-point boundary value problem is also given.In this paper, we consider the following second order three-point boundary value problem u″（t）＋a（t）f（u（t））=0,0〈t〈1,u（0）-u（1）=0,u＇（0）-u＇（1）=u（1/2）,where a ： （0, 1） → [0, ∞） is symmetric on （0, 1） and may be singular at t = 0 and t = 1, f ： [0, ∞） → [O, ∞） is continuous. By using Krasnoselskii＇s fixed point theorem ia a cone, we get some existence results of positive solutions for the problem. The associated Green＇s function for the three-point boundary value problem is also given.

关 键 词：Symmetric positive solution three-point boundary value problem fixed point theorem EXISTENCE 

分 类 号：O175.8[理学—数学]