On two rational difference equations

摘要

In this paper, we study the oscillating property of positive solutions and the global asymptotic stability of the unique equilibrium of the two rational difference equationsxn+1=xn+xn-1xn-2+axnxn-1+xn-2+a,n=0,1,2,…,andxn+1=xnxn-1+xn-2+axn-1+xnxn-2+a,n=0,1,2,…,where a is a nonnegative constant.