Boundedness Character of the System of Recursive Difference Equations

Authors : Nimet Coskun, Ali Gelişken, Nihal Yokuş

Pages : 70-77

Doi:10.47000/tjmcs.1202704

View : 49 | Download : 64

Publication Date : 2024-06-30

Article Type : Research Paper

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