Several sufficient conditions of solvability for a nonlinear higher order three-point boundary value problem on time scales

被引：12

作者：

Sang, Yanbin ^{[1
]}

Su, Hua

机构：

[1] N Univ China, Dept Math, Taiyuan Shanxi 030051, Peoples R China

[2] Shandong Univ, Dept Syst Sci & Math, Jinan 250100, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期

基金：

中国国家自然科学基金;

关键词：

time scale; positive solutions; boundary value problem; fixed point theorem;

D O I：

10.1016/j.amc.2007.01.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear higher order three-point boundary value problem on time scales is considered. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. As an application, some examples to demonstrate our results are given. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：566 / 575

页数：10

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