On the solutions of a higher-order difference equation in terms of generalized Fibonacci sequences.
On the solutions of a higher-order difference equation in terms of generalized Fibonacci
sequences Page 1 Research Article Received 4 March 2015 Published online 26 October …
sequences Page 1 Research Article Received 4 March 2015 Published online 26 October …
On the solutions of a second-order difference equation in terms of generalized Padovan sequences
Y Halim, JFT Rabago - Mathematica Slovaca, 2018 - degruyter.com
This paper deals with the solution, stability character and asymptotic behavior of the rational
difference equation xn+ 1= α xn− 1+ β γ xnxn− 1, n∈ N 0, where ℕ0= ℕ∪{0}, α, β, γ∈ ℝ+ …
difference equation xn+ 1= α xn− 1+ β γ xnxn− 1, n∈ N 0, where ℕ0= ℕ∪{0}, α, β, γ∈ ℝ+ …
On a system of difference equations of second order solved in a closed from
In this work we solve in closed form the system of difference equations\begin {equation*} x_
{n+ 1}=\dfrac {ay_nx_ {n-1}+ bx_ {n-1}+ c}{y_nx_ {n-1}},\; y_ {n+ 1}=\dfrac {ax_ny_ {n-1}+ by …
{n+ 1}=\dfrac {ay_nx_ {n-1}+ bx_ {n-1}+ c}{y_nx_ {n-1}},\; y_ {n+ 1}=\dfrac {ax_ny_ {n-1}+ by …
[PDF][PDF] On the solutions of three-dimensional difference equation systems via pell numbers
N Taşkara, H Büyük - Avrupa Bilim ve Teknoloji Dergisi, 2022 - dergipark.org.tr
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] …
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] …
[PDF][PDF] A system of difference equations with solutions associated to Fibonacci numbers
Y Halim - International Journal of Difference Equations, 2016 - campus.mst.edu
A System of Difference Equations with Solutions Associated to Fibonacci Numbers 1
Introduction Page 1 International Journal of Difference Equations ISSN 0973-6069, Volume …
Introduction Page 1 International Journal of Difference Equations ISSN 0973-6069, Volume …
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 …
On a system of three difference equations of higher order solved in terms of Lucas and Fibonacci numbers
In this paper we give some theoretical explanations related to the representation for the
general solution of the system of the higher-order rational difference equations xn+ 1= 1+ 2 …
general solution of the system of the higher-order rational difference equations xn+ 1= 1+ 2 …
Global behavior of solutions to a higher-dimensional system of difference equations with lucas numbers coefficients
M Berkal, JF Navarro, R Abo-Zeid - Mathematical and Computational …, 2024 - mdpi.com
In this paper, we derive the well-defined solutions to a θ-dimensional system of difference
equations. We show that, the well-defined solutions to that system are represented in terms …
equations. We show that, the well-defined solutions to that system are represented in terms …
Solutions of a system of two higher-order difference equations in terms of Lucas sequence
In this paper we give some theoretical explanations related to the representation for the
general solution of the system of the higher-order rational difference equations $$ x_ {n+ …
general solution of the system of the higher-order rational difference equations $$ x_ {n+ …
Global behavior of a three-dimensional system of difference equations of order three
DT Tollu, İ Yalçınkaya - … Faculty of Sciences University of Ankara …, 2019 - dergipark.org.tr
In this paper, we investigate the global behavior of the positive solutions of the system of
difference equations u_ {n+ 1}=((α₁u_ {n-1})/(β₁+ γ₁v_ {n-2}^{p})), v_ {n+ 1}=((α₂v_ {n …
difference equations u_ {n+ 1}=((α₁u_ {n-1})/(β₁+ γ₁v_ {n-2}^{p})), v_ {n+ 1}=((α₂v_ {n …