Stability of the third order rational difference equation

Abstract

In this paper, we examine the global stability and boundedness of the differenceequation1 21 21nn nnn nnxx xxx x xα βγ θ− −− −+++ =where the initial conditions 2 10 xxx , , − − are non zero real numbers and αβγ θ , , andare positive constants such thatαβ γθ + ≤+ .Also, we discuss and illustrate the stability of the solutions of the considered equationvia MATLAB at the end of study to support our results.