Solvability of a system of nonlinear difference equations of higher order
In this paper, we show that the following higher-order system of nonlinear difference
equations, $ x_ {n}=\frac {x_ {nk} y_ {nkl}}{y_ {nl}\left (a_ {n}+ b_ {n} x_ {nk} y_ {nkl}\right)},\y …
equations, $ x_ {n}=\frac {x_ {nk} y_ {nkl}}{y_ {nl}\left (a_ {n}+ b_ {n} x_ {nk} y_ {nkl}\right)},\y …
On a solvable system of difference equations of higher-order with period two coefficients
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∈ …
{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∈ …
Solvability of a system of higher order nonlinear difference equations
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 …
(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 …
On the system of difference equations
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)+ 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 …
On a solvable nonlinear difference equation of higher order
In this paper we consider the following higher-order nonlinear difference equation $$ x_
{n}=\alpha x_ {nk}+\frac {\delta x_ {nk} x_ {n-\left (k+ l\right)}}{\beta x_ {n-\left (k+ …
{n}=\alpha x_ {nk}+\frac {\delta x_ {nk} x_ {n-\left (k+ l\right)}}{\beta x_ {n-\left (k+ …
On a solvable three-dimensional system of difference equations
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 …
(Formula Presented) where the parameters a, b, c, d, e, f and the initial values x− i, y− i, z− i …
A solvable system of difference equations
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 …
(x_ {n-2} y_ {n-1})^{p-1}}{cy_ {n-1}+ dx^{p-1} _ {n-2}}} $, $ y_n={\frac {{\alpha} x^ p_ {n …
Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients
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+ …
xn+ 1= ynxn− 2 axn− 2+ bzn− 1, yn+ 1= znyn− 2 cyn− 2+ dxn− 1, zn+ 1= xnzn− 2 ezn− 2+ …
On the global dynamics of a rational difference equation with periodic coefficients
The aim of this paper is to investigate the qualitative behavior of a higher-order
nonautonomous rational difference equation with periodic coefficients. Particularly, our …
nonautonomous rational difference equation with periodic coefficients. Particularly, our …
On a general system of difference equations defined by homogeneous functions
N Touafek - Mathematica Slovaca, 2021 - degruyter.com
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 …
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 …