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.

引用

页码：2756 / 2766

页数：11

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