A unified monotone iterative technique for semilinear elliptic boundary value problems

被引：2

作者：

Köksal, S ^{[1
]}

Lakshmikantham, V ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 04期

关键词：

semilinear elliptic problems; unified monotone iterative technique;

D O I：

10.1016/S0362-546X(01)00809-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A unified approach to monotone iterative techniques is developed for elliptic boundary value problems when the nonlinear term involved admits a splitting of a difference of two monotone functions. The results obtained, using both the classical and variational methods, include several known results as well as some interesting new ones. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：567 / 586

页数：20

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