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.
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页码：679 / 688
页数：10
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