On the Global Asymptotic Stability of a Second-Order System of Difference Equations

الملخص EN

A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations zn+1=(tnzn−1+a)/(tn+zn−1), tn+1=(zntn−1+a)/(zn+tn−1), n=0,1,2,…, where the parameter aϵ(0,∞) and the initial values (zk,tk)ϵ(0,∞) (for k=−1,0).