Solution for Rational Systems of Difference Equations of Order Three

被引：2
作者：
El-Dessoky, Mohamed M. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
MATHEMATICS | 2016年 / 4卷 / 03期
关键词：
difference equations; recursive sequences; stability; periodic solution; system of difference equations; GLOBAL ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; PERIODICITY; EXISTENCE; Y(N); X(N); X(N+1);
D O I：
10.3390/math4030053
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the solution and periodicity of the following systems of difference equations: x(n + 1) = y(n-2)/1 + y(n-2)x(n-1)y(n), y(n + 1) = x(n-2)/+/- 1 +/- x(n-2)y(n-1)x(n), with initial conditions x(-2), x(-1), x(0), y(-2), y(-1), and y(0) are nonzero real numbers.
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页数：12
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