on the system of two nonlinear difference equations xn+1=a+xn−1/yn, yn+1=a+yn−1/xn

on the system of two nonlinear difference equations xn+1=a+xn−1/yn,   yn+1=a+yn−1/xn

;G. Papaschinopoulos;C. J. Schinas
structural engineering and mechanics 2000 Vol. 23 pp. 839-848
172
papaschinopoulos2000internationalon

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,….

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