International Journal of Mathematics and Mathematical Sciences 
Volume 23 (2000), Issue 12, Pages 839-848
doi:10.1155/S0161171200003227

On the system of two nonlinear difference equations xn+1=A+xn−1/yn,   yn+1=A+yn−1/xn

G. Papaschinopoulos1 and C. J. Schinas2

 1Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi 67100, Greece
2Department of Applied Informatics, University of Macedonia, Thessaloniki 54006, Greece
Received 13 April 1999

Abstract

We study the oscillatory behavior, the periodicity and the asymptotic behavior of the positive solutions of the system of two nonlinear difference equations xn+1=A+xn−1/yn and yn+1=A+yn−1/xn, where A is a positive constant, and n=0,1,….