X_{n+1}=?+((x_{n}^{p})/(x_{n-k}^{p})) dynamics of the recursive sequence

Although difference equations are relatively simple in form, it is, unfortunately, extremely diffucult to understand thoroughly the global behavior of their solutions. But, recently there has been a great interest in studying difference equations. One of the main reason for this, difference equations have been applied in several mathematical models in many science fields. This study consists of four sections. In the first section, general informations were given about the difference equations and a summary of literature on rational difference equations was given. In the second section, general definitions and theorems about difference equations were given. In the third section, of the x_{n+1}=A+(x_{n}/x_{n-1}) equation, and in the forth section of the x_{n+1}=A+(x_{n}^{p}/x_{n-1}^{p}) equation the behaviour of positive solutions of difference equations are discussed. Finally, in the fifth section, we revise the difference equation x_{n+1}=A+(x_{n}^{p}/x_{n-1}^{p}).