ON THE RECURSIVE SEQUENCE $x_{n+l} =\alpha+\frac{x_{n-1}^{p}}{x_{n}^{p}}$

The boundedness, global attractivity, oscillatory and asymptotic periodicity of the positive solutions of the difference equation of the form $x_{n+l} =\alpha+\frac{x_{n-1}^{p}}{x_{n}^{p}},\;\; n = 0, 1, ...$ is investigated, where all the coefficients are nonnegative real numbers.