
Global behavior of P-dimensional difference equations system
Author(s) -
Amıra Khelifa,
Yacine Halim
Publication year - 2021
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2021029
Subject(s) - mathematics , combinatorics , arithmetic
The global asymptotic stability of the unique positive equilibrium point and the rate of convergence of positive solutions of the system of two recursive sequences has been studied recently. Here we generalize this study to the system of \begin{document}$ p $\end{document} recursive sequences \begin{document}$x_{n+1}^{(j)}=A+\left(x_{n-m}^{(j+1) mod (p)} \;\;/ x_{n}^{(j+1) mod (p)}\;\;\;\right) $\end{document} , \begin{document}$ n = 0,1,\ldots, $\end{document}\begin{document}$ m,p\in \mathbb{N} $\end{document} , where \begin{document}$ A\in(0,+\infty) $\end{document} , \begin{document}$ x_{-i}^{(j)} $\end{document} are arbitrary positive numbers for \begin{document}$ i = 1,2,\ldots,m $\end{document} and \begin{document}$ j = 1,2,\ldots,p. $\end{document} We also give some numerical examples to demonstrate the effectiveness of the results obtained.