On the Solutions of a General System of Difference Equations

被引：24
作者：
Elsayed, E. M. [1 ,2 ]
El-Dessoky, M. M. [1 ,2 ]
Alotaibi, Abdullah [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2012年 / 2012卷
关键词：
POSITIVE SOLUTIONS; Y(N); X(N);
D O I：
10.1155/2012/892571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with the solutions of the systems of the difference equations x(n+1) = 1/x(n-p)y(n-p), y(n+1) = x(n-p)y(n-p)/x(n-q)y(n-q), and x(n+1) = 1/x(n-p)y(n-p)z(n-p), y(n+1) = x(n-p)y(n-p)z(n-p)/x(n-q)y(n-q)z(n-q), z(n+1) = x(n-q)y(n-q)z(n-q)/x(n-r)y(n-r)z(n-r), with a nonzero real numbers initial conditions. Also, the periodicity of the general system of k variables will be considered.
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页数：12
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