First-order advanced difference equations

被引：4

作者：

Jankowski, Tadeusz ^{[1
]}

机构：

[1] Gdansk Univ Technol, Dept Differential Equat & Appl Math, PL-80952 Gdansk, Poland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 04期

关键词：

Difference equations with advanced arguments; Difference inequalities; Lower and upper solutions; Monotone method; Existence of solutions;

D O I：

10.1016/j.amc.2010.02.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of solutions to nonlinear first-order difference problems with advanced arguments. Sufficient conditions when such problems have solutions (extremal or unique) are given. Linear advanced difference inequalities are also discussed. According to my knowledge, it is a first paper when a monotone iterative method is applied to nonlinear boundary value problems for first-order difference equations with advanced arguments. An example illustrates the theoretical results. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1242 / 1249

页数：8

共 9 条

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