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

被引：14

作者：

Khan, RA

Lopez, RR

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 08期

关键词：

four point problem; quasilinearization; upper and lower solutions; quadratic convergence;

D O I：

10.1016/j.na.2005.05.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some four point boundary value problems. We use the method of upper and lower solutions to improve some previous existence results, and apply the generalized method of quasilinearization to obtain a monotone sequence of iterates converging uniformly and rapidly to a solution of the problem. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1094 / 1115

页数：22

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