On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n

摘要

In this paper,we investigate the boundedness character,the global attractivity and the periodic nature of the system of rational difference equations:x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n,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.