Abstract

In this paper we study the periodicity and the form of the solutions of the following systems of difference equations of order two xn+1 = \frac{y_{n}x_{n-1}}{\pm x_{n-1}\pm y_{n}}, yn+1 = \frac{x_{n}y_{n-1}}{\pm x_{n}\pm y_{n-1}}, n ∈ ℕ0, with nonzero real numbers initial conditions.

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