Positive solutions for singular second order three-point boundary value problems

被引：28
|
作者：
Liu, Bingmei
Liu, Lishan [1 ]
Wu, Yonghong
机构：
[1] Qufu Normal Univ, Dept Math, Shandong 273165, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6001, Australia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 12期
基金：
中国国家自然科学基金;
关键词：
three point; singular; positive solution; theory of fixed point index;
D O I：
10.1016/j.na.2006.04.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the singular three-point boundary value problem [GRAPHICS] where eta is an element of (0, 1), 0 < alpha < 1/eta, is considered under some conditions concerning the first eigenvalue corresponding to the relevant linear operator. h(t) is allowed to be singular at t = 0, 1 and f may be singular at u = 0. The existence of a positive solution is obtained by a fixed index point. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：2756 / 2766
页数：11
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