Multiple positive solutions for a class of m-point boundary value problems

被引：11
|
作者：
Zhang, Xuemei [2 ,3 ]
Feng, Meiqiang [1 ,3 ]
Ge, Weigao [3 ]
机构：
[1] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China
[2] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[3] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 01期
关键词：
Multi-point boundary value problem; Positive solution; Completely continuous; Fixed point index theory; Existence; ORDINARY DIFFERENTIAL-EQUATIONS; SOLVABILITY;
D O I：
10.1016/j.aml.2007.10.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using a specially constructed cone and the fixed point index theory, this work shows the existence of multiple positive solutions for a class of m-point Sturm-Liouville boundary value problems for second-order differential equations lambda x" + g(t)f(t,x) = 0, where lambda > 0 and g(t) is L-P-integrable. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：12 / 18
页数：7
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