The form of solutions and periodic nature for some rational difference equations systems

被引：1

作者：

El-Dessoky, M. M. ^{[1
,2
]}

Elsayed, E. M. ^{[1
,2
]}

Alzahrani, E. O. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 10期

关键词：

Difference equations; recursive sequences; stability; periodic solution; system of difference equations; Y(N); X(N); BEHAVIOR; DYNAMICS;

D O I：

10.22436/jnsa.009.10.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the expressions of solutions and the periodic nature of the following systems of rational difference equations with order four x(n+1) = y(n-3)/+/- 1 +/- y(n)z(n-1)x(n-2)y(n-3), y(n+1) = z(n-3)/+/- 1 +/- z(n)x(n-1)y(n-2)z(n-3), z(n+1) = x(n-3)/+/- 1 +/- x(n)y(n-1)z(n-2)x(n-3), with initial conditions x(-3), x(-2), x(-1), x(0), y(-3), y(-2), y(-1), y(0), z(-3), z(-2), z(-1) and z(0) which are arbitrary real numbers. (C) 2016 All rights reserved.

引用

页码：5629 / 5647

页数：19

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