On the positive solutions of the system of rational difference equations

被引:41
作者
Ozban, Ahmet Yasar [1 ]
机构
[1] Atilim Univ, Dept Math, TR-06836 Incek Ankara, Turkey
关键词
system of difference equations; positive solutions; periodicity;
D O I
10.1016/j.jmaa.2005.10.031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our aim in this paper is to investigate the periodic nature of solutions of the system of rational difference equations x(n+1) = 1/y(n-k), y(n+1) = yn/x(n-mYn-m-k), n = 0, 1,..., where k is a nonnegative integer, m is a positive integer and the initial values x(-m), x(-m+1),..., x(0), y(-m-k), y(-m-k+1),..., y(0) are positive real numbers. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:26 / 32
页数:7
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