MMN-534
On a max type recursive sequence of order three
E. M. Elsayed;Abstract
Our aim in this paper is to investigate the behavior of
the solution of the following max type difference equation of order three%
\begin{equation*}
x_{n+1}=\max \left\{ \frac{A_{n}}{x_{n}},x_{n-2}\right\} ,\;\;\;n=0,1,...,
\end{equation*}%
{\Large \noindent }where the initial conditions $x_{-2},\ x_{-1},\ x_{0}\ $%
are arbitrary positive real numbers and $\left\{ A_{n}\right\}
_{n=0}^{\infty }$ is a periodic sequence of period two.
Vol. 17 (2016), No. 2, pp. 837-859
DOI: 10.18514/MMN.2017.534