Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation

被引：3
作者：
El-Dessoky, M. M. [1 ,2 ]
Elabbasy, E. M. [2 ]
Asiri, Asim [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷
关键词：
ASYMPTOTIC STABILITY; BEHAVIOR;
D O I：
10.1155/2018/9129354
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order y(n+1) = alpha y(n)+ By(n)y(n-3)/ (Ay(n-4) + By(n-3)),n = 0,1,..., where alpha,beta,A, and B are real numbers and the initial conditions y(-4), y(-3), y(-2),y(-1), and y(0) are positive real numbers such that Ay(-4) + By(-3) not equal 0. Also, we obtain the solution of some special cases of this equation.
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页数：21
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