Abstract
In this paper, we study the existence of solutions for a class of rational systems of difference equations of order four in four-dimensional case
x(n+1) = x(n-3)/+/- 1 +/- t(n)z(n-1)y(n-2)x(n-3) , y(n+1) = y(n-3)/+/- 1 +/- x(n)t(n-1)z(n-2)y(n-3) ,
z(n+1) = z(n-3)/+/- 1 +/- y(n)x(n-1)l(n-2)z(n-3) , t(n+1) = tn-3/+/- 1 +/- z(n)y(n-1)x(n-2)l(n-3) with the initial conditions are real numbers. Also, we study some behavior such as the periodicity and boundedness of solutions for such systems. Finally, some numerical examples are given to confirm our theoretical results and graphed by Matlab. (C) 2016 All rights reserved.