Existence of symmetric positive solutions for a class of Sturm-Liouville-like boundary value problems

被引：13

作者：

Yang, Jingbao ^{[1
]}

Wei, Zhongli ^{[2
,3
]}

Liu, Ke ^{[1
]}

机构：

[1] Bozhou Teachers Coll, Dept Sci, Mengcheng 233500, Anhui, Peoples R China

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

[3] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 02期

关键词：

p-Laplacian operator; Four-point boundary value problems; Fixed theorem of cone expansion and compression; Positive solution; DIMENSIONAL P-LAPLACIAN; SUCCESSIVE ITERATION; OPERATOR; EQUATION;

D O I：

10.1016/j.amc.2009.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence of symmetric positive solutions for a class of singular Sturm-Liouville-like boundary value problems with a one-dimensional p-Laplacian operator. By using the fixed theorem of cone expansion and compression of norm type in a cone, the existence of positive solutions is established though nonlinear term contains the first derivative of unknown function. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：424 / 432

页数：9

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