Monotone iterative technique for singular perturbation problem

被引：0

作者：

Kamar, ARA ^{[1
]}

机构：

[1] Univ Mansoura, Fac Engn, Dept Math & Phys Sci, Mansoura, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期

关键词：

upper and lower solutions; monotone iterative technique; singular perturbation problem;

D O I：

10.1016/S0096-3003(01)00169-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the monotone iterative technique to the singular perturbation problem. We construct, under suitable conditions, monotone sequences of lower and upper approximate solutions which converge uniformly and monotonically to the coupled minimal and maximal solutions of the singular perturbation problem. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：559 / 571

页数：13

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