arXiv subjects
Publications and source records attributed to İnci Okumuş.
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=(γ/(x_{n}(x_{n-1}+α)+\b{eta})), n=0,1,..., where the inital values x_{-1} and x_{0} and α, \b{eta} and γ with γ are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.
The main objective of this paper is to investigate the explicit form, stability character and global behavior of solutions of the following two systems of rational difference equations x_{n+1}=((+(-)1)/(y_{n}(x_{n-1}+(-)1)+1)), y_{n+1}=((+(-)1)/(x_{n}(y_{n-1}+(-)1)+1)), n=0,1,... such that their solutions are associated with Tribonacci numbers.
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this work, we introduce the generalized Tribonacci sedenion and present some properties of this sedenion.
The aim of this paper is to investigate the dynamics of a higher order system of rational difference equations. Our concentration is on boundedness character, the oscillatory, the existence of unbounded solutions and the global behavior of positive solutions for the following system of difference equations \begin{equation*} x_{n+1}=A+\frac{x_{n-m}}{z_{n}},\ y_{n+1}=A+\frac{y_{n-m}}{z_{n}},\ z_{n+1}=A+\frac{z_{n-m}}{y_{n}},\ n=0,1,...,\end{equation*} where $A$ and the initial values $x_{-i}$, $y_{-i}$, $z_{-i}$, for $i=0,1,...,m$, are positive real numbers.