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This paper is concerned with local stability, oscillatory character of positive solutions to the system of the two nonlinear difference equations xn+1=A+xn-1p/ynp and yn+1=A+yn-1p/xnp, n=0,1,…, where A∈(0,∞), p∈[1,∞), xi∈(0,∞), and yi∈(0,∞), i=-1,0.

Dynamical Behavior of a System of Second-Order Nonlinear Difference Equations