Higher-order three-point boundary value problem on time scales

被引：25

作者：

Anderson, Douglas R.

Karaca, Ilkay Yaslan ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 09期

关键词：

Time scale; Dynamic equation; Cone; Fixed-point theorem; Positive solution;

D O I：

10.1016/j.camwa.2008.05.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a higher-order three-point boundary value problem on time scales. We study the existence of solutions of a non-eigenvalue problem and of at least one positive solution of an eigenvalue problem. Later we establish the criteria for the existence of at least two positive solutions of a non-eigenvalue problem. Examples are also included to illustrate our results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2429 / 2443

页数：15

共 20 条

[1]

Anderson D. R., 2004, ELECT J DIFFERENTIAL, V47, P1

[2] An even-order three-point boundary value problem on time scales [J].