Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 2, Pages 127-143
doi:10.1155/JIA.2005.127

Asymptotic behavior of a system of linear fractional difference equations

M. R. S. Kulenović1 and M. Nurkanović2

 1Department of Mathematics, University of Rhode Island, Kingston 02881-0816, RI, USA
2Department of Mathematics, University of Tuzla, Univerzitetska 4, Tuzla 75000, Bosnia and Herzegovina
Received 8 August 2003

Abstract

We investigate the global asymptotic behavior of solutions of the system of difference equations xn+1=(a+xn)/(b+yn), yn+1=(d+yn)/(e+xn), n=0,1,…, where the parameters a, b, d, and e are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers. We obtain some asymptotic results for the positive equilibrium of this system.