[PDF][PDF] A detailed study on a solvable system related to the linear fractional difference equation
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 …
1= a 1+ ynxn− 1, yn+ 1= b 1+ xnyn− 1, n∈ N0, where the parameters a, b, and the initial …
On a three-dimensional solvable system of difference equations
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 …
1}=\dfrac {z_ {n-1}}{a+ by_nz_ {n-1}},\quad y_ {n+ 1}=\dfrac {x_ {n-1}}{a+ bz_nx_ {n-1}},\quad …
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+ …
[PDF][PDF] Representation of solutions of a two-dimensional system of difference equations
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 …
dimensional system of difference equations xn+ 1= yn-1xn-2 yn (a+ byn-1xn-2), yn+ 1= xn …
On a solvable system of p difference equations of higher order
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 …
rational difference equations: xn+ 1 (j)= xn-k (j+ 1)(mod p) a+ bxn-k (j+ 1)(mod p), n, p, k∈ N …
General solutions to systems of difference equations and some of their representations
A Khelifa, Y Halim - Journal of Applied Mathematics and Computing, 2021 - Springer
Here we solve the following system of difference equations x^(j) _ n+ 1= F_ m+ 2+ F_ m+ 1
x^((j+ 1) mod (p)) _ nk F_ m+ 3+ F_ m+ 2 x^((j+ 1) mod (p)) _ nk,\quad n, m, p, k ∈ N_0, j= 1 …
x^((j+ 1) mod (p)) _ nk F_ m+ 3+ F_ m+ 2 x^((j+ 1) mod (p)) _ nk,\quad n, m, p, k ∈ N_0, j= 1 …
Solutions formulas for three-dimensional difference equations system with constant coefficients
In this paper, we study the following three-dimensional system of difference equations\begin
{equation*} x_ {n}=\frac {ax_ {n-3} z_ {n-2}+ b}{cy_ {n-1} z_ {n-2} x_ {n-3}},\y_ {n}=\frac {ay …
{equation*} x_ {n}=\frac {ax_ {n-3} z_ {n-2}+ b}{cy_ {n-1} z_ {n-2} x_ {n-3}},\y_ {n}=\frac {ay …
Representation of solutions of a system of five-order nonlinear difference equations
M Berkal, K Berehal, N Rezaiki - Journal of applied mathematics & …, 2022 - koreascience.kr
In this paper, we deal with the existence of solutions of the following system of nonlinear
rational difference equations with order five $ x_ {n+ 1}=\frac {y_ {n-3} x_ {n-4}}{y_n (a+ by …
rational difference equations with order five $ x_ {n+ 1}=\frac {y_ {n-3} x_ {n-4}}{y_n (a+ by …
Solvable three-dimensional system of higher-order nonlinear difference equations
In this work, we indicate three-dimensional system of difference equations xn= ayn− k+ dyn−
kxn− k− l/ˆbxn− k− l+ ˆczn− l, yn= αzn− k+ δzn− kyn− k− l/ˆβyn− k− l+ ˆγxn− l, zn= exn− k+ …
kxn− k− l/ˆbxn− k− l+ ˆczn− l, yn= αzn− k+ δzn− kyn− k− l/ˆβyn− k− l+ ˆγxn− l, zn= exn− k+ …