Positive solutions for a three-point boundary value problem at resonance

被引：65

作者：

Han, Xiaoling ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期

关键词：

three-point boundary value problem; fixed point theorem; positive solution; resonance;

D O I：

10.1016/j.jmaa.2007.02.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the second order three-point boundary value problem x"(t) = f(t,x(t)), t epsilon (0,1), x'(0) = 0, x(eta) = x(l). The existence and multiplicity of positive solutions are investigated by means of the fixed point theorem in cones. (c) 2007 Elsevier Inc. All rights reserved.

引用

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页码：556 / 568

页数：13

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