On global behavior of the system of rational difference equations x n+1 = p+yn-k/xn, yn+1 = q+x n-k/yn
- Author:
Xia AN
1
Author Information
1. Department of Basic Courses
- Publication Type:Journal Article
- Keywords:
Boundedness;
Difference equation;
Equilibrium solution;
Global behavior
- From:Academic Journal of Xi'an Jiaotong University
2009;21(3):189-191
- CountryChina
- Language:Chinese
-
Abstract:
In this paper, we investigate the boundedness character, the global attractivity and the periodic nature of the system of rational difference equations: xn+1 = p+yn-k/xn, yn+1 = q+xn-k/yn, n=0,1,2⋯, where p>0, q>0, k∈ {1,2,⋯} and the initial values xi, yi∈(0, ∞), i=-k, -k+1, ⋯,0. Some new results are obtained.
