Global Behavior of the Max-Type Difference Equation xn+1=max {1xn,Anxn−1}

Abstract EN

We study global behavior of the following max-type difference equation xn+1=max {1/xn,An/xn−1}, n=0,1,…, where {An}n=0∞ is a sequence of positive real numbers with 0≤inf An≤sup An<1.

The special case when {An}n=0∞ is a periodic sequence with period k and An∈(0,1) for every n≥0 has been completely investigated by Y.

Chen.

Here we extend his results to the general case.