Multiple positive solutions for singular BVPs on the positive half-line

被引：35

作者：

Djebali, Smail ^{[1
]}

Mebarki, Karima ^{[2
]}

机构：

[1] ENS, Dept Math, Algiers 16050, Algeria

[2] UMBB, Fac Fundamental Sci, Dept Math, Boumerdes 35000, Algeria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 12期

关键词：

fixed point theorem; positive solution; singular problem; cone; compactness; infinity interval;

D O I：

10.1016/j.camwa.2007.11.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we are concerned with the existence of multiple positive solutions to a second-order nonlinear singular boundary value problem set on the positive half-line. We mainly use the Krasnozels' kii and Leggett-Williams fixed point theorems in cones to prove existence of one positive solution, two positive solutions and three positive solutions. The results complement, extend and correct some recent ones. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2940 / 2952

页数：13

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