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On a system of two nonlinear difference equations. (English) Zbl 0908.39003
Concerning the system $$x_{n+1}=A+y_n/x_{n-p}$$, $$y_{n+1}=A+x_n/y_{n-q}$$ with $$A\geq 0$$ and natural numbers $$p$$, $$q$$, the authors show: (i) the positive solutions are bounded, (ii) they oscillate about the equilibrium $$(1+A,1+A)$$, (iii) the equilibrium is globally asymptotically stable for $$A>1$$.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A12 Discrete version of topics in analysis
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##### References:
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