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 …
[PDF][PDF] The form of solutions and periodic nature for some system of difference equations
E Elsayed, J Al-juaid - Fundamental Journal of Mathematics and …, 2023 - dergipark.org.tr
The Form of Solutions and Periodic Nature for Some System of Difference Equations Page
1 Fundamental Journal of Mathematics and Applications, 6 (1) (2023) 24-34 Research …
1 Fundamental Journal of Mathematics and Applications, 6 (1) (2023) 24-34 Research …
[PDF][PDF] Dynamics and Global Stability of Second Order Nonlinear Difference Equation
EM Elsayed, HS Gafel - Pan-American Journal of Mathematics, 2022 - mathyze.com
DYNAMICS AND GLOBAL STABILITY OF SECOND ORDER NONLINEAR DIFFERENCE
EQUATION Difference equations precribe real life situations i Page 1 ISSN: 2832-4293 Pan-American …
EQUATION Difference equations precribe real life situations i Page 1 ISSN: 2832-4293 Pan-American …
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 …
[PDF][PDF] Expression and behavior of the solutions of some rational recursive sequences
EM Elsayed - Mathematical Methods in the Applied Sciences, 2016 - researchgate.net
In this paper, we obtain the solutions of the following recursive sequences: xnC1 D xn 3xn 4
xn. 1 xn 1xn 2xn 3xn 4/, n D 0, 1,:::,(1) where the initial conditions are arbitrary real numbers …
xn. 1 xn 1xn 2xn 3xn 4/, n D 0, 1,:::,(1) where the initial conditions are arbitrary real numbers …
On the periodic solutions of some systems of higher order difference equations
M Gocen, A Cebeci - The Rocky Mountain Journal of Mathematics, 2018 - JSTOR
In this paper, we obtain the general form of the periodic solutions of some higher order
difference equations system xn+ 1=±xn− kyn−(2 k+ 1) yn−(2 k+ 1)∓ yn− k, yn+ 1=±yn …
difference equations system xn+ 1=±xn− kyn−(2 k+ 1) yn−(2 k+ 1)∓ yn− k, yn+ 1=±yn …
On the Solutions of a System of Third‐Order Rational Difference Equations
AM Alotaibi, MSM Noorani… - Discrete Dynamics in …, 2018 - Wiley Online Library
The structure of the solutions for the system nonlinear difference equations xn+ 1= ynyn−
2/(xn− 1+ yn− 2), yn+ 1= xnxn− 2/(±yn− 1±xn− 2), n= 0, 1,…, is clarified in which the initial …
2/(xn− 1+ yn− 2), yn+ 1= xnxn− 2/(±yn− 1±xn− 2), n= 0, 1,…, is clarified in which the initial …
[PDF][PDF] Formulas and properties of some class of nonlinear difference equations
EM Elsayed, F Alzahrani… - Journal of Computational …, 2018 - researchgate.net
We obtain the formulas of the solutions of the recursive sequences xn+ 1= xnxnL5 xnL4
(±1±xnxnL5), n= 0, 1,..., where the initial conditions are arbitrary non zero real numbers …
(±1±xnxnL5), n= 0, 1,..., where the initial conditions are arbitrary non zero real numbers …
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+ …
[PDF][PDF] On eight solvable systems of difference equations in terms of generalized Padovan sequences
In this study we show that the systems of difference equations xn+ 1= f− 1 (af (pn− 1)+ bf
(qn− 2)), yn+ 1= f− 1 (af (rn− 1)+ bf (sn− 2)), for n∈ N0, where the sequences pn, qn, rn and …
(qn− 2)), yn+ 1= f− 1 (af (rn− 1)+ bf (sn− 2)), for n∈ N0, where the sequences pn, qn, rn and …