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+ …

Horadam Sequences: A Survey Page 1 Horadam Sequences: A Survey Peter J. Larcombe,
Ovidiu D. Bagdasar and Eric J. Fennessey † School of Computing and Mathematics …

We give an update on work relating to Horadam sequences that are generated by a general
linear recurrence formula of order two. This article extends a first ever survey published in …

The purpose of this paper is twofold. First, we derive theoretically, using appropriate
transformation on $ x_n $, the closed-form solution of the nonlinear difference equation\[x …

We analyze the dynamics of the Sisyphus random walk model, a discrete Markov chain in
which the walkers may randomly return to their initial position x 0. In particular, we present a …

DYNAMICS OF A SYSTEM OF k−DIFFERENCE EQUATIONS 1. Introduction and
preliminaries Our aim in this paper is to investigate the q Page 1 Electronic Journal of …

This short note aims to answer one of the open problems raised by F. Balibrea and A.
Cascales in [2]. In particular, the forbidden set of the nonlinear difference equation xn+ 1 …

We reǦexamine the system of difference equations given by 𝑥𝑥𝑛𝑛+ 1= 𝑥𝑥𝑛𝑛−(2𝑘𝑘− 1)
𝜀𝜀+ 𝛿𝛿𝑥𝑥𝑛𝑛−(2𝑘𝑘− 1) 𝑦𝑦𝑛𝑛−(𝑘𝑘− 1), 𝑦𝑦 𝑛𝑛+ 1= 𝑦𝑦𝑛𝑛−(2𝑘𝑘− 1) 𝜌𝜌+ …

This paper provides alternative techniques on solving some systems of difference equations.
These techniques are analytical and much explanatory in nature as compared to methods …

This short note aims to answer one of the open problems raised by F. Balibrea and A.
Cascales in [2]. In particular, the forbidden set of the nonlinear difference equation xn 1 …