On the global asymptotic stability of a second-order system of difference equations
A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations \(z_{n+1}=(t_nz_{n-1}+a)/(t_n+z_{n-1})\), \(t_{n+1}=(z_nt_{n-1}+a)/(z_n+t_{n-1})\), \(n=0,1,2,\dots\), where the parameter \(a\in(0,\infty)\) and the initial values \((z_k,t_k)\in(0,\infty)\) (for \(k=-1,0)\).
scientific article; zbMATH DE number 5538679