Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem

被引：8

作者：

Zhao, Junfang ^{[1
,3
]}

Geng, Fengjie ^{[1
]}

Zhao, Jianfeng ^{[2
]}

Ge, Weigao ^{[3
]}

机构：

[1] China Univ Geosci, Sch Informat Engn, Beijing 100083, Peoples R China

[2] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China

[3] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 02期

关键词：

Sturm-Liouville like; Four-point; Boundary value problem; Positive solutions; Fixed point; EXISTENCE; MULTIPLICITY;

D O I：

10.1016/j.amc.2010.06.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we considered the following four-point boundary value problem {x ''(t) + h(t) f(t, x(t), x'(t)) = 0, 0<T<1, x'(0) - alpha(1)chi(xi) = 0, x'(1) + alpha(2 chi)(eta) - 0, where 0 < alpha(1) < 1/xi, 0 < alpha(2) < 1/1-n , 0 < xi < eta < 1; alpha(1)alpha(2)eta - alpha(1)alpha(2)xi + alpha(1) + alpha(2) > 0: By applying fixed-point theorems, we obtain a variety of existence results. In particular, our four-point boundary condition is a new kind Sturm-Liouville-like boundary condition, which has rarely been considered up to now. (C) 2010 Published by Elsevier Inc.

引用

页码：811 / 819

页数：9

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