POSITIVE SOLUTIONS FOR A SINGULAR THIRD ORDER BOUNDARY VALUE PROBLEM

被引：1

作者：

Hederson, Johnny ^{[1
]}

Luca, Rodica ^{[2
]}

Nelms, Charles, Jr. ^{[1
]}

Yang, Aijun ^{[1
,3
]}

机构：

[1] Baylor Univ, Dept Math, Waco, TX 76798 USA

[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania

[3] Zhejiang Univ Technol, Coll Sci, Hangzhou 310023, Zhejiang, Peoples R China

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2015年 / 7卷 / 04期

关键词：

fixed point theorem; boundary value problem; singular;

D O I：

10.7153/dea-07-25

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of positive solutions is shown for the third order boundary value problem, u"' (x,u), 0 < x < 1, u(0) u(1) = u"(1) 0, where f (x,y) is singular at x = 0, x = 1, y = 0, and may be singular at y = infinity. The method involves application of a fixed point theorem for operators that are decreasing with respect to a cone.

引用

页码：437 / 447

页数：11

共 27 条

[1]

Agarwal R.P., 1999, POSITIVE SOLUTIONS D

[2] Singular problems on the infinite interval modelling phenomena in draining flows [J].