Periodic solutions of difference equations

被引：3
|
作者：
Furumochi, Tetsuo [1 ,2 ]
Naito, Toshiki [1 ,2 ]
机构：
[1] Shimane Univ, Dept Math, 1060 Nishikawatsucho, Matsue, Shimane 6908504, Japan
[2] Univ Electro Commun, Dept Math, Chofu, Tokyo 1828585, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
基金：
日本学术振兴会;
关键词：
Periodic solutions; Difference equations; Fixed point theorem;
D O I：
10.1016/j.na.2009.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the existence of periodic solutions of periodic difference equations including x(n + 1) = f(n, x(n)), n is an element of Z, where x and f are d-vectors, and Z denotes the set of integers, as well as scalar autonomous difference equations including x(n) = -f(x(n - 1)), n is an element of Z. First we state some recent results concerning periodic solutions of periodic difference equations. Then, we show the existence of periodic solutions of scalar autonomous difference equations by using Schauder's fixed point theorem. We illustrate the results with some examples. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：E2217 / E2222
页数：6
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