On the Periodic Solutions of Some Systems of Difference Equations

Authors : E M ELSAYED, H S GAFEL

Pages : 126-136

Doi:10.33434/cams.442662

View : 17 | Download : 14

Publication Date : 2018-12-24

Article Type : Research Paper

Abstract :In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm insert ignore into journalissuearticles values(y_{n}+x_{n-1});}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm insert ignore into journalissuearticles values(x_{n}+y_{n-1});}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the initial conditions $x_{-2},\ x_{-1},\ x_{0},$ $% y_{-2},\ y_{-1},\ y_{0}$ are arbitrary non zero real numbers.
Keywords : Difference equation, Periodicity, System of difference equations