Global Dynamics of a Class of Difference Equation

ABSTRACT In this paper, we investigate dynamics of the following class of nonlinear quadratic higher order difference equations: where is a positive integer and also the initial conditions and and are positive real numbers. Especially, we handle the boundedness, periodicity, global asymptotic stability, and rate of convergence of the Equation. Additionally, we introduce the two special cases of the Equation for and . Here, we present some special results of these equations and present some numerical examples to verify our theoretical results.