On the dynamics of a five-order fuzzy difference equation

被引：19
|
作者：
Wang, Changyou [1 ,2 ]
Su, Xiaolin [1 ]
Liu, Ping [1 ]
Hu, Xiaohong [1 ]
Li, Rui [3 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Coll Sci, Chongqing 400065, Peoples R China
[2] Chengdu Univ Informat Technol, Sch Appl Math, Chengdu 610225, Sichuan, Peoples R China
[3] Chongqing Univ Posts & Telecommun, Coll Automat, Chongqing 400065, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 06期
关键词：
Fuzzy difference equation; existence; uniqueness; equilibrium point; asymptotic behavior; BEHAVIOR; SYSTEMS;
D O I：
10.22436/jnsa.010.06.40
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this paper is to investigate the existence and uniqueness of the positive solutions and the asymptotic behavior of the equilibrium points of the fuzzy difference equation x (n+1) = Ax(n-1)x(n-2)/D + Bx(n-3) + Cx(n-4), n = 0, 1, 2, ... , where x n is a sequence of positive fuzzy numbers, the parameters A, B, C, D and the initial conditions x(-4), x(-3), x(-2), x(-1), x(0) are positive fuzzy numbers. Moreover, some numerical examples to the difference system are given to verify our theoretical results. (C) 2017 All rights reserved.
引用
收藏
页码：3303 / 3319
页数：17
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