On the solutions of some nonlinear systems of difference equations

被引：16
作者：
Elsayed, Elsayed M. [1 ,3 ]
El-Metwally, Hamdy [2 ,3 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Rabigh Coll Sci & Art, Dept Math, Rabigh 21911, Saudi Arabia
[3] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
difference equations; periodic solution; solution of difference equation; system of difference equations; BEHAVIOR; DYNAMICS;
D O I：
10.1186/1687-1847-2013-161
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the existence of solutions and the periodicity character of the following systems of rational difference equations with order three: x(n+1) = x(n)y(n-2)/y(n-1)(+/- 1 +/- x(n)y(n-2)), y(n+1) = y(n)x(n-2)/x(n-1)(+/- 1 +/- y(n)x(n-2)), where the 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：14
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