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has been cited by the following article:

• TITLE: The Solutions and the Dynamic Behavior of the Rational Difference Equations

  AUTHORS: Nisreen A. Bukhary, Elsayed M. Elsayed

  KEYWORDS: Difference Equation, Local Stability, Global Attractor, Boundedness, Periodic

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.2, February 22, 2023

  ABSTRACT: The main purpose of this paper is to study the dynamic behavior of the rational difference equation of the fourth order Where α, β and γ are positive constants and the initial conditions y-3, y-2, y-1, y0 are arbitrary positive real numbers. Also, we obtain the solution of some special cases of this equation and investigate the existence of a periodic solutions of these equations. Finally, some numerical examples will be given to explicate our results.