Positive solutions for 2nth-order singular sub-linear m-point boundary value problems

被引：15

作者：

Wei, Zhongli ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250014, Shandong, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 02期

关键词：

singular m-point boundary value problem; positive solution; lower and upper solution; a partial ordering; a comparison theorem;

D O I：

10.1016/j.amc.2006.05.014

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 for 2nth-order singular sub-linear m-point boundary value problems. Firstly, we establish a comparison theorem, then we define a partial ordering in C2n-2 [a, b] boolean AND C-2n(a, b) and construct lower and upper solutions to give a necessary and sufficient condition for the existence of C2n-2[0, 1] as well as C2n-1[0,1] positive solutions. Our nonlinearity f(t, x(1), x(2),...., x(n)) may be singular at x(i) = 0, i = 1, 2,..., n, t = 0 and/or t = 1. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1280 / 1295

页数：16

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