Second Order Linear Difference Equations and Periodic Traits

Abstract

This chapter’s aims are to solve second order linear difference equations explicitly, to determine the necessary and sufficient conditions for the existence and uniqueness of periodic solutions, and to determine specific patterns of periodic cycles of second order linear difference equations. We will break up this chapter into three sections: Periodic Solutions of Second Order Linear Homogeneous Difference Equations, Second Order Nonhomogeneous Difference Equations, and Second Order Nonautonomous Linear Difference Equations.