QUALITATIVE ANALYSIS OF A FOURTH ORDER DIFFERENCE EQUATION

被引：3
作者：
Alayachi, H. S. [1 ]
Noorani, M. S. M. [1 ]
Elsayed, E. M. [2 ,3 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Bangi, Selangor, Malaysia
[2] King Abdulaziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 04期
关键词：
Stability; periodicity; global attractor; boundedness; difference; equations; POSITIVE SOLUTIONS; BEHAVIOR; DYNAMICS; EXPRESSION; STABILITY; XN+1;
D O I：
10.11948/20190196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will investigate some qualitative behavior of solutions of the following fourth order difference equation x(n + 1) = ax(n) (- 1) + bx(n - 1)/cx(n - 1) - dx(n - 3), n = 0, 1,..., where the initial conditions x-3,x-2, x-1 and x0 are arbitrary real numbers and the values a, b, c and d are defined as positive real numbers.
引用
收藏
页码：1343 / 1354
页数：12
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