Global Behavior of the Max-Type Difference Equation ${x}_{n+1}=\max \{1/{x}_{n},{A}_{n}/{x}_{n-1}\}$

We study global behavior of the following max-type difference equation , where is a sequence of positive real numbers with . The special case when is a periodic sequence with period and for every has been completely investigated by Y. Chen. Here we extend his results to the general case.

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