Open Access

On the system of rational difference equations xn+1 = f(yn-q, xn-s), yn+1 = g(xn-t, yn-p)

Advances in Difference Equations20062006:051520

DOI: 10.1155/ADE/2006/51520

Received: 20 March 2006

Accepted: 28 May 2006

Published: 18 September 2006


We study the global behavior of positive solutions of the system of rational difference equations xn+1 = f(yn-q, xn-s), yn+1 = g(xn-t, yn-p), n = 0,1,2,..., where p, q, s, t {0,1,2,...} with st and pq, the initial values x-s, x-s+1,...,x0, y-p, y-p+1,...y0 (0,+∞). We give sufficient conditions under which every positive solution of this system converges to the unique positive equilibrium.


Authors’ Affiliations

Department of Mathematics, College of Mathematics and Information Science, Guangxi University
Department of Mathematics, Guangxi College of Finance and Economics


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© T. Sun and H. Xi 2006

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