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On the nonlinear difference equation system $x_{n+1}=A+y_{n - m}/x_n,y_{n+1}=A+x_{n - m}/y_n$. (English) Zbl 1152.39312
Summary: We study the boundedness, persistence, and global asymptotic stability of positive solutions of the system of two difference equations $$X_{n+1}=A+\frac{y_{n-m}}{x_n},\qquad y_{n+1}=A+\frac{x_{n-m}}{y_n},\quad n=0,1,\dots$$ where $A>0$.

##### MSC:
 39A11 Stability of difference equations (MSC2000)
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##### References:
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