On the Behavior of Solutions of the System of Rational Difference Equations: xn+1 = xn-1/(ynxn-1-1), yn+1 = yn-1/(xnyn-1-1), and zn+1 = zn-1/(ynzn-1-1)

被引：25

作者：

Kurbanli, Abdullah Selcuk ^{[1
]}

机构：

[1] Selcuk Univ, Dept Math, Fac Educ, TR-42090 Konya, Turkey

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷

关键词：

GLOBAL ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; Y(N); X(N); ORDER;

D O I：

10.1155/2011/932362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the solutions of the system of difference equations x(n+1) = x(n-1)/(y(n)x(n-1) - 1), y(n+1) = y(n-1)/(x(n)y(n-1) - 1), z(n+1) = z(n-1)/(y(n)z(n-1) - 1), where y(0), y(-1), x(0), x(-1), z(-1), z(0) is an element of R.

引用

页数：12

共 17 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] Global asymptotic behavior of a two-dimensional difference equation modelling competition [J].

Clark, D ;

Kulenovic, MRS ;

Selgrade, JF .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (07) :1765-1776

[5]

Iricanin BD, 2006, DYNAM CONT DIS SER A, V13, P499

[6] Global behavior of a three-dimensional linear fractional system of difference equations [J].

Kulenovic, MRS ;

Nurkanovic, Z .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 310 (02) :673-689

[7] On the behavior of positive solutions of the system of rational difference equations xn+1 = xn-1/ynxn-1+1, yn+1 = yn-1/xnyn-1+1 [J].

Kurbanli, Abdullah Selcuk ;

Cinar, Cengiz ;

Yalcinkaya, Ibrahim .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) :1261-1267

[8] On the system of rational difference equations xn = a/yn-3, yn = byn-3/xn-qyn-q [J].

Ozban, Ahmet Yasar .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :833-837

[9] 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

[10] On a system of two nonlinear difference equations [J].

Papaschinopoulos, G ;

Schinas, CJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 219 (02) :415-426

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