On the Dynamics of a Higher Order Nonlinear System of Difference Equations

2018/10/18 by Okumuş, İnci, Soykan, Yüksel
#39A10 #39A30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.07986

Abstract

The aim of this paper is to investigate the dynamics of a higher order system of rational difference equations. Our concentration is on boundedness character, the oscillatory, the existence of unbounded solutions and the global behavior of positive solutions for the following system of difference equations x_n+1=A+\fracx_n-mz_n, y_n+1=A+\fracy_n-mz_n, z_n+1=A+\fracz_n-my_n, n=0,1,..., where A and the initial values x_-i, y_-i, z_-i, for i=0,1,...,m, are positive real numbers.

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