We show that the next difference equations system x_ {n+ 1}=((a_ {n} x_ {n-k+ 1} y_ {nk})/(y_
{n}-α_ {n}))+ β_ {n+ 1}, y_ {n+ 1}=((b_ {n} y_ {n-k+ 1} x_ {nk})/(x_ {n}-β_ {n}))+ α_ {n+ 1}, n∈ …

In this paper we show that the system of difference equations x_n=ay_nk+dy_nkx_n-
(k+l)bx_n-(k+l)+cy_nl=αx_nk+δx_nky_n-(k+l)βy_n-(k+l)+γx_nl, where n∈N_0, k and l are …

In this paper, we show that the system of difference equations x (n)= x (n-2) y (n-3)/y (n-1)(a
(n)+ b (n) x (n-2) y (n-3)), y (n)= y (n-2) x (n-3)/x (n-1)(alpha (n)+ beta (n) y (n-2) x (n-3)), n is …

n this paper, we show that the following three-dimensional system of difference equations
(Formula Presented) where the parameters a, b, c, d, e, f and the initial values x− i, y− i, z− i …

In this paper, we show that the system of difference equations $ x_n={\frac {ay^ p_ {n-1}+ b
(x_ {n-2} y_ {n-1})^{p-1}}{cy_ {n-1}+ dx^{p-1} _ {n-2}}} $, $ y_n={\frac {{\alpha} x^ p_ {n …

In this paper, we obtain the form of the solutions of some rational difference equations via
adjusted Jacobsthal-Padovan numbers. We find a relation between the exact solutions and …

The aim of this paper is to investigate the qualitative behavior of a higher-order
nonautonomous rational difference equation with periodic coefficients. Particularly, our …

The aim of this paper is to study the following second order system of difference equations
xn+ 1= f (yn, yn− 1), yn+ 1= g (xn, xn− 1) where n∈ ℕ0, the initial values x− 1, x 0, y− 1 and y …

The aim of the present work is to study of the behavior of the solutions of the following
abstract system of difference equations defined by x_ n+ 1= f_ 1 (x_ n, x_ n-1)+ f_ 2 (y_ n, y …

In this paper, we solve in closed-form the following third-order system of nonlinear difference
equations x_ {n+ 1}=(y_ny_ {n-1} x^ p_ {n-1})/(x_ {n}(a_n y^ q_ {n-2}+ b_n y_n y_ {n-1})), y …