Positive solutions for a three-point boundary value problem

被引：17

作者：

Han, Xiaoling ^{[1
]}

机构：

[1] NW Normal Univ, Math & Informat Sci Coll, Lanzhou 730070, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 03期

关键词：

second-order singular equation; three-point boundary value problem; positive solution; Green's function;

D O I：

10.1016/j.na.2005.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The second-order three-point boundary value problem x"(t) + beta(2)x(t) = h(t)f(t, x(t)), t epsilon (0, 1), x'(0) = 0, x(eta) = x(1), is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where eta epsilon (0, 1) is a constant, h(t) is allowed to be singular at t = 0 and t = 1. The existence of positive solutions is studied by means of fixed point index theory. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：679 / 688

页数：10

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