A necessary and sufficient condition for the existence of positive solutions to singular sublinear three-point boundary value problems

被引：10

作者：

Du, Xinsheng ^{[1
]}

Zhao, Zengqin ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 01期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1016/j.amc.2006.07.120

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 second-order singular sublinear three point boundary value problems. A necessary and sufficient condition for the existence of C[0, 1] as well as C-1[0, 1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Also, the uniqueness, iterative methods, convergence rate and computational methods of the C1 [0, 1] positive solutions are studied. Our nonlinear term may be singular at t = 0 and/or t = 1.

引用

页码：404 / 413

页数：10

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