We develop an exciting result on the convergence of positive solutions to a rational system
of 4 (k+ 1)-order difference equations, which can also be considered as an extension of the …

In this study, we investigate the form of the solutions of the following rational difference
equation system x_n=(z_ (n-1) z_ (n-3))/(x_ (n-2)+ 2z_ (n-3)), y_n=(x_ (n-1) x_ (n-3))/([-y] …

In this paper, we present a detailed study of the following system of difference equations xn+
1= a 1+ ynxn− 1, yn+ 1= b 1+ xnyn− 1, n∈ N0, where the parameters a, b, and the initial …

We show that thethree-dimensional system of difference equationsx_ n+ 1= ax_ n z_ n-1 z_
n-β+ γ, y_ n+ 1= by_ n x_ n-1 x_ n-γ+ α, z_ n+ 1= cz_ n y_ n-1 y_ n-α+ β, where the …

In this paper we solve the following system of difference equations\begin {equation*} x_ {n+
1}=\dfrac {z_ {n-1}}{a+ by_nz_ {n-1}},\quad y_ {n+ 1}=\dfrac {x_ {n-1}}{a+ bz_nx_ {n-1}},\quad …

In this paper, we show that the following three-dimensional system of difference equations
xn+ 1= ynxn− 2 axn− 2+ bzn− 1, yn+ 1= znyn− 2 cyn− 2+ dxn− 1, zn+ 1= xnzn− 2 ezn− 2+ …

In this paper, we solve the following three-dimensional system of difference equationsxn=
yn− 4zn− 5yn− 1 (an+ bnzn− 2xn− 3yn− 4zn− 5), yn= zn− 4xn− 5zn− 1 (αn+ βnxn− 2yn …

In this paper we give a representation formula for the general solution to the following two-
dimensional system of difference equations xn+ 1= yn-1xn-2 yn (a+ byn-1xn-2), yn+ 1= xn …

In this paper we present the well-defined solution of the following system of higher-order
rational difference equations: xn+ 1 (j)= xn-k (j+ 1)(mod p) a+ bxn-k (j+ 1)(mod p), n, p, k∈ N …