First-order functional difference equations with nonlinear boundary value problems

被引：9

作者：

Jankowski, Tadeusz ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 06期

关键词：

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

D O I：

10.1016/j.camwa.2009.11.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The monotone iterative method is used to show that corresponding difference problems with boundary conditions have extremal solutions in the region bounded by lower and upper solutions. It is important to indicate that the right-hand sides of problems depend on r delayed arguments. Difference inequalities of such types are also discussed. Two examples satisfying the assumptions are presented. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1937 / 1943

页数：7

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