Stability of the third order rational difference equation.

In this paper, we examine the global stability and boundedness of the difference equation ... where the initial conditions x-2, x-1, x0 are non zero real numbers and,, and α, β, γ and θ are positive constants such that α + β ≤ γ +θ. Also, we discuss and illustrate the stability of the solutions of the considered equation via MATLAB at the end of study to support our results. [ABSTRACT FROM AUTHOR]