On the solutions of some rational difference equations

In this thesis, we investigate the asymptotic behaviors of the solutions of some rational difference equations and the global attractivity of the equilibrium points of certain rational difference equations. This thesis consists of five chapters. In Chapter 1, we give some basic definitions and theorems needed in this thesis. In Chapter 2,we exhibit some examples of the local asymptotic stability of the some second order rational difference equations. In Chapter 3,we present some examples regarding the asymptotic behavior of some third order rational difference equations. In Chapter 4,we study the periodicity, stability and global attractivity of certain rational difference equations. In Chapter 5,we investigate the local and global stability of the rational difference equation x_(n+1)=(α+βx_n+γx_(n-1))/(Cx_(n-1)+Dx_(n-2) ).