Existence and uniqueness of solutions for nth-order nonlinear two-point boundary value problems

被引：5

作者：

Pei, Minghe ^{[1
]}

Chang, Sung Kag ^{[2
]}

机构：

[1] Beihua Univ, Dept Math, Jilin 132013, Peoples R China

[2] Yeungnam Univ, Dept Math, Kyongsan 712749, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 23期

关键词：

Two point boundary value problem; Existence; Uniqueness; SOLVABILITY;

D O I：

10.1016/j.amc.2013.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some general results of existence and uniqueness of solutions for nth-order nonlinear two-point boundary value problems by using Shooting method together with Maximum principle and Kneser-Hukahara Continuum theorem. As applications, we give certain concrete sufficient conditions for the existence and uniqueness of solutions of nonlinear two-point boundary value problems of nth-order Lipschitz equations. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：11005 / 11017

页数：13

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