A necessary and sufficient condition for the existence of positive solutions of singular super-linear m-point boundary value problems

被引：11

作者：

Wei, Zhongli ^{[1
]}

机构：

[1] Shandong Inst Architectural & Engn, Dept Math & Phys, Shandong 250014, Peoples R China

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期

关键词：

singular super-linear in-point boundary value problem; positive solution; fixed point theorem; cone;

D O I：

10.1016/j.amc.2005.11.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of positive solutions of singular super-linear m-point boundary value problems of fourth order ordinary differential equations. A necessary and sufficient condition for the existence of C-2[0, 1] positive solutions as well as C-3[0, 1] positive solutions is given by means of the fixed point theorems on cones. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：67 / 78

页数：12

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