The Solutions and the Dynamic Behavior of the Rational Difference Equations  

作　　者：Nisreen A. Bukhary Elsayed M. Elsayed Nisreen A. Bukhary;Elsayed M. Elsayed(Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, KSA;Faculty of Science, Mathematics Department, Majmaah University, Al Majma’ah, Riyadh, KSA;Faculty of Science, Mathematics Department, Mansoura University, Mansoura, Egypt)

机构地区：[1]Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah, KSA [2]Faculty of Science, Mathematics Department, Majmaah University, Al Majma’ah, Riyadh, KSA [3]Faculty of Science, Mathematics Department, Mansoura University, Mansoura, Egypt

出　　处：《Journal of Applied Mathematics and Physics》2023年第2期525-540,共16页应用数学与应用物理（英文）

摘　　要：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. .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. .

关 键 词：Difference Equation Local Stability Global Attractor BOUNDEDNESS PERIODIC 

分 类 号：O17[理学—数学]