Existence and approximation of solutions for nonlinear second-order four-point boundary value problems

被引：9

作者：

Wang, Libo ^{[1
,2
]}

Pei, Minghe ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

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

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 9-10期

关键词：

The method of upper and lower solutions; Leray-Schauder degree theory; One-sided Nagumo condition; The generalized approximation method;

D O I：

10.1016/j.mcm.2008.11.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Applying the method of upper and lower solutions, Leray-Schauder degree theory and one-sided Nagumo condition, we obtain the existence and uniqueness results for a class of nonlinear second-order four-point boundary value problems. By the generalized approximation method, a monotone iteration sequence which converges uniformly to the unique solution of the nonlinear problem and converges quadratically to the unique solution of the linear problem is also obtained. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1348 / 1359

页数：12

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