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Global behavior of the difference equation $x_{n+1}=frac{Ax_{n-1}} {B-Cx_{n}x_{n-2}}$Keywords: difference equation , periodic solution , globally asymptotically stable. Abstract: The aim of this work is to investigate the global stability, periodicnature, oscillation and the boundedness of all admissible solutions of the difference equationx_{n+1} =frac{Ax_{n 1}} {B Cx_nx_{n 2}}, n = 0, 1, 2, . . .where A,B,C are positive real numbers.
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