Existence and uniqueness of positive solutions to a class of singular m-point boundary value problems

被引：13

作者：

Du, Xinsheng ^{[1
]}

Zhao, Zengqin ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 198卷 / 02期

基金：

中国国家自然科学基金;

关键词：

second order singular m-point boundary value problems; positive solution; lower and upper solution; maximum principle;

D O I：

10.1016/j.amc.2007.08.080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and uniqueness of positive solutions to a class of singular m-point boundary value problems of second order ordinary differential equations. A sufficient condition for the existence and uniqueness of C[0, 1] positive solutions as well as C-1[0, 1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t, u) may be singular at u, t = 0 and/or t=1. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：487 / 493

页数：7

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