Multiple positive solutions of the singular boundary value problems for second-order differential equations on the half-line

被引：15

作者：

Liu, Lishan ^{[1
,2
]}

Wang, Zenggui ^{[1
,3
]}

Wu, Yonghong ^{[2
]}

机构：

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

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

基金：

中国国家自然科学基金;

关键词：

Positive solutions; Singular boundary value problems; Fixed point index; Half-line; INTERVALS; EXISTENCE;

D O I：

10.1016/j.na.2009.01.092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of multiple positive solutions for singular Sturm-Liouville boundary value problems on the half-line is investigated. By applying the fixed point index theorem of cone map, some existence and multiplicity results of positive solutions are derived. Our results improve and generalize many well-known results. Two examples are presented to demonstrate the application of our main results. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2564 / 2575

页数：12

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