Abstract
In this paper, we will investigate some qualitative behavior of solutions of the following fourth order difference equation $ x_{n+1} = ax_{n-1}+\frac{ bx_{n-1}}{cx_{n-1}-dx_{n-3}}, $ $ n = 0, 1, ..., $ where the initial conditions $ x_{-3, }x_{-2}, \ x_{-1} $and$ x_{0}\ $are arbitrary real numbers and the values $ a, \ b, \ c\ $and$ \;d $ are defined as positive real numbers.
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