Periodicity of non-linear difference equations

In this thesis, we are primarily concerned with the periodicity of non-linear difference equations which are rational, max-type, special-type and the system of rational difference equations. The organization of this thesis is as follows: In Chapter 1, we give the necessary preliminary definitions and some examples of linear and non-linear difference equations. In Chapter 2, we present some examples of the periodicity of some rational difference equations. In Chapter 3, we exhibit some examples of the periodicity of some max-type non-linear difference equations. In Chapter 4, we present some examples of the periodicity of some special-type difference equations. In Chapter 5, we investigate the study of some special max-type difference equations with eventually periodic solutions. In Chapter 6, we present some examples of the periodicity of the system of rational difference equations.