TITLE:
On the Symmetrical System of Rational Difference Equation xn+1=A+yn-k/yn, yn+1=A+xn-k/xn
AUTHORS:
Decun Zhang, Wenqiang Ji, Liying Wang, Xiaobao Li
KEYWORDS:
Symmetrical System; Difference Equation; Boundedness; Period-Two Solution
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.5,
May
21,
2013
ABSTRACT:
In this paper, we study the behavior of the symmetrical system of rational difference equation:
where A > o and xi, yi ∈(0, ∞), for i= -k,-k+1,…,0.