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
  • [41] DYNAMIC BEHAVIOR OF A SEVEN-ORDER FUZZY DIFFERENCE EQUATION
    Jia, Lili
    Zhao, Xiaojuan
    Wang, Changyou
    Wang, Qiyu
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (01): : 486 - 501
  • [42] On a fuzzy difference equation
    Hatir, Esref
    Mansour, Toufik
    Yalcinkaya, Ibrahim
    UTILITAS MATHEMATICA, 2014, 93 : 135 - 151
  • [43] ON A FUZZY DIFFERENCE EQUATION
    DEEBA, EY
    DEKORVIN, A
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1995, 3 (04) : 469 - 473
  • [44] Dynamics of a System of Rational Higher-Order Difference Equation
    Sroysang, Banyat
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [45] Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation
    El-Dessoky, M. M.
    Elabbasy, E. M.
    Asiri, Asim
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [46] Dynamics of a system of rational third-order difference equation
    Zhang, Qianhong
    Yang, Lihui
    Liu, Jingzhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [47] Dynamics and Global Stability of Higher Order Nonlinear Difference Equation
    Elsayed, E. M.
    Alghamdi, Asma
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (03) : 493 - 503
  • [48] Global dynamics of a higher order difference equation with a quadratic term
    Erkan Taşdemir
    Journal of Applied Mathematics and Computing, 2021, 67 : 423 - 437
  • [49] Global dynamics of a higher order difference equation with a quadratic term
    Tasdemir, Erkan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 67 (1-2) : 423 - 437
  • [50] Dynamics and behaviors of a third-order system of difference equation
    Ji W.
    Zhang D.
    Wang L.
    Mathematical Sciences, 2013, 7 (1)
12345