Boundedness Character of the System of Recursive Difference Equations

Year 2024, Volume: 16 Issue: 1, 70 - 77, 30.06.2024

Nimet Coskun Ali Gelişken Nihal Yokuş

https://doi.org/10.47000/tjmcs.1202704

Abstract

In this paper, we take into consideration the boundedness character of positive solutions of the difference system
$x_{n}=\alpha +\prod \limits_{i=1}^{k}y_{n-i}^{a_{i}} $
$y_{n}=\beta +\prod \limits_{i=1}^{k}x_{n-i}^{b_{i}},$
where $a_{i},b_{i}\in \mathbb{R}$, $i=\overline{1,k},$ $a_{k}\neq 0,$ $b_{k}\neq 0$ and $\alpha $ and $\beta $ are nonnegative real numbers.

Keywords

System of nonlinear difference equations, bounded solutions, positive solutions

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