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On the system of high order rational difference equations $$x_{n}=\frac {a}{y_{n-p}}, y_{n}=\frac {by_{n-p}}{x_{n-q}{y_{n-q}}}$$. (English) Zbl 1093.39013
The paper deals with the system of difference equations $x_n = \frac{a}{y_{n-p}}, \;y_n = \frac{by_{n-p}}{x_{n-q}y_{n-q}}, \;n=1,2,..., \eqno(1)$ where $$a$$ and $$b$$ are positive constants, $$p$$ and $$q$$ are positive integers, $$q$$ is divisible by $$p$$. The authors study monotonicity properties of positive solutions of (1). If $$a=b$$ then every positive solution of (1) is periodic with period $$2q$$.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A20 Multiplicative and other generalized difference equations, e.g., of Lyness type
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##### References:
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