ON THE GLOBAL ASYMPTOTIC BEHAVIOR OF A SYSTEM OF TWO NONLINEAR DIFFERENCE EQUATIONS

In this paper a sufficient condition is obtained for the global asmptotic stability of the following system of difference equations x(n+1) = x(n) + n(n-1)/x(n)y(n-1) + 1, y(n+1) = y(n) + x(n-1)/y(n)x(n-1), n = 0, 1, 2,..., where the initial values (x(k), y(k))epsilon(0, infinity) (for k = 1, 0).