On the system of rational difference equations xn = a/yn-3, yn = byn-3/xn-qyn-q

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; eventually periodic solutions;
D O I
10.1016/j.amc.2006.10.034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we investigate the behaviour of the positive solutions of the system of rational difference equation x(n) = a/y(n-3), y(n) = by(n-3)/x(n-q)Y(n-q), n = 1, 2,..., where q > 3 is a positive integer with 3 inverted iota q, a and b are positive constants and tile initial values x(-q+1),x(-q+2),...,x0, Y-q+1,y(-q+2),...,y(0) are positive real numbers. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:833 / 837
页数:5
相关论文
共 8 条
[1]   Global asymptotic behavior of positive solutions on the system of rational difference equations xn+1=1+xn/yn-m, yn+1=1+yn/xn-m [J].
Camouzis, E ;
Papaschinopoulos, G .
APPLIED MATHEMATICS LETTERS, 2004, 17 (06) :733-737
[2]   On the positive solutions of the difference equation system Xn+1=1/yn, Yn+1=Yn/xn-1Yn-1 [J].
Çinar, C .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (02) :303-305
[3]   A coupled system of rational difference equations [J].
Clark, D ;
Kulenovic, MRS .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (6-7) :849-867
[4]   On the positive solutions of the system of rational difference equations [J].
Ozban, Ahmet Yasar .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) :26-32
[5]   On a system of two nonlinear difference equations [J].
Papaschinopoulos, G ;
Schinas, CJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 219 (02) :415-426
[6]   On the system of high order rational difference equations xn = a/yn-p, yn = byn-p/xn-qyn-q [J].
Yang, XF ;
Liu, YX ;
Bai, S .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) :853-856
[7]   On the system of rational difference equations xn=A+yn-1/xn-pyn-q, yn=A+xn-1/xn-ryn-s [J].
Yang, XF .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 307 (01) :305-311
[8]   All solutions of a class of discrete-time systems are eventually periodic [J].
Yuan, ZH ;
Huang, LH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (02) :537-546