%0 Journal Article
%T On the system of rational difference equations xn+1 = f(xn,yn-k), yn+1 = f(yn, xn-k)
%A Sun Taixiang
%A Xi Hongjian
%A Hong Liang
%J Advances in Difference Equations
%D 2006
%I Springer
%X We study the global asymptotic behavior of the positive solutions of the system of rational difference equations xn+1 = f(xn,yn-k), yn+1 = f(yn, xn-k), n = 0,1,2,..., under appropriate assumptions, where k ¡Ê {1,2,...} and the initial values x-k, x-k+1,...,x0, y-k, y-k+1, ..., y0 ¡Ê (0,+¡Þ). We give sufficient conditions under which every positive solution of this equation converges to a positive equilibrium. The main theorem in [1] is included in our result.
%U http://www.advancesindifferenceequations.com/content/2006/016949