Existence of Positive Solutions for Nonlinear Third-Order m-Point Boundary Value Problems on Time Scales

被引：1

作者：

Karaca, Ilkay Yaslan ^{[1
]}

Tokmak, Fatma ^{[1
]}

机构：

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

来源：

FILOMAT | 2014年 / 28卷 / 05期

关键词：

Green's function; Time scales; Fixed-point theorem; m-point boundary value problem; p-Laplacian;

D O I：

10.2298/FIL1405925K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of double positive solutions for nonlinear third-order m-point boundary value problems with p-Laplacian on time scales. By using double fixed point theorem, we establish results on the existence of two positive solutions with suitable growth conditions imposed on the nonlinear term. As an application, we give an example to demonstrate our main result.

引用

页码：925 / 935

页数：11

共 17 条

[1]

Agarwal R. P., 1999, Results Math, V35, P3, DOI DOI 10.1007/BF03322019

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