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
相关论文
共 50 条
  • [21] Global Behavior of a Higher Order Fuzzy Difference Equation
    Su, Guangwang
    Sun, Taixiang
    Qin, Bin
    MATHEMATICS, 2019, 7 (10)
  • [22] Dynamics of a Higher-Order Nonlinear Difference Equation
    Tang, Guo-Mei
    Hu, Lin-Xia
    Jia, Xiu-Mei
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [23] Dynamics of a third-order rational difference equation
    Belhannache, Farida
    Touafek, Nouressadat
    Abo-Zeid, Raafat
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2016, 59 (01): : 13 - 22
  • [24] DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION
    Wang, Qi
    Zhang, Qinqin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (02): : 770 - 787
  • [25] Dynamics and Behavior of a Second Order Rational Difference equation
    Elsayed, E. M.
    El-Dessoky, M. M.
    Asiri, Asim
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (04) : 794 - 807
  • [26] A phylogenomically informed five-order system for the closest relatives of land plants
    Hess, Sebastian
    Williams, Shelby K.
    Busch, Anna
    Irisarri, Iker
    Delwiche, Charles F.
    de Vries, Sophie
    Darienko, Tatyana
    Roger, Andrew J.
    Archibald, John M.
    Buschmann, Henrik
    von Schwartzenberg, Klaus
    de Vries, Jan
    CURRENT BIOLOGY, 2022, 32 (20) : 4473 - +
  • [27] On the Dynamics of a Higher-Order Rational Difference Equation
    Ahmed, A. M.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
  • [28] Dynamics and Behavior of the Higher Order Rational Difference equation
    El-Dessoky, M. M.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (04) : 743 - 760
  • [29] Dynamics and behaviour of a high order rational difference equation
    Elsayed, E. M.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1463 - 1474
  • [30] GLOBAL DYNAMICS FOR A HIGHER ORDER RATIONAL DIFFERENCE EQUATION
    Li, Xianyi
    Zhou, Li
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2013, 43 (04) : 1261 - 1280
12345