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In this book, we are primarily concerned with the boundedness nature of solutions and the stability of the equilibrium points of the second and third order rational difference equations. This book consists of five chapters. In Chapter 1, we give the necessary preliminary results. In Chapter 2, we present a collection of techniques for demonstrating boundedness of solutions of the rational difference equations. In Chapter 3, we present some examples of the second and third order rational difference equations. In Chapter 4 and 5, we focus on the study of stability and boundedness nature of the equilibrium points of some specific difference equations. It is my hope that this work can be useful for students and researcher that are interested in difference equations.
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