Affiliation:
1. Badji Mokhtar-Annaba University
Abstract
In this article, we study the global behavior of the following higher-order nonautonomous rational difference equation
\[
y_{n+1}=\frac{\alpha_n+y_{n-r}}{\alpha_n+y_{n-k}},\quad n=0,1,...,
\]
where \(\left\{\alpha_n\right\}_{n\geq0}\) is a bounded sequence of
positive numbers, \(k,r\) are nonnegative integers such that \(r
Subject
Applied Mathematics,Geometry and Topology,Mathematics (miscellaneous),Analysis