Positive solutions for a class of m-point singular boundary value problems

被引:37
作者
Feng, Meiqiang [1 ]
Ge, Weigao
机构
[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
[2] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China
关键词
multi-point boundary value problem; positive solution; fixed point theorem; existence; singularity;
D O I
10.1016/j.mcm.2006.11.009
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper concerns the existence and multiplicity of positive solutions for a class of m-point singular boundary-value problems of second-order differential equations Lx=lambda w(t)f(t, x), 0<t<1. The arguments are based upon fixed point theorems in a cone. The nonexistence of a positive solution is also studied. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:375 / 383
页数:9
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