Monotone iterative method for first-order functional difference equations with nonlinear boundary value conditions

被引：27

作者：

Wang, Peiguang ^{[1
]}

Tian, Shuhuan ^{[2
]}

Wu, Yonghong ^{[3
]}

机构：

[1] Hebei Univ, Coll Elect & Informat Engn, Baoding 071002, Peoples R China

[2] Baoding Univ, Dept Math & Comp Sci, Baoding 071002, Peoples R China

[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 01期

关键词：

functional difference equations; lower and upper solutions; monotone iterative method; nonlinear boundary value conditions;

D O I：

10.1016/j.amc.2008.04.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the method of monotone iterative coupled with the upper and lower solutions is valid to obtain constructive proofs to the existence of solutions for first-order functional difference equations with nonlinear boundary value conditions. An example is given to illustrate the results obtained. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：266 / 272

页数：7

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