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

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,….

Keywords

• System of two nonlinear difference equations
• periodic solutions
• oscillation
• asymptotic behavior.