On first order fuzzy Ricatti difference equation

被引:30
|
作者
Zhang, Qianhong [1 ]
Yang, Lihui [2 ]
Liao, Daixi [3 ]
机构
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China
[2] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China
[3] Hunan Inst Technol, Dept Math & Phys, Hengyang 421002, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Fuzzy difference equation; Boundedness; Persistence; Equilibrium point; Asymptotic behavior; Nonoscillation; SYSTEM; BEHAVIOR;
D O I
10.1016/j.ins.2014.02.086
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the existence, the boundedness and the asymptotic behavior of the positive solutions to a first order fuzzy Ricatti difference equation Xn+1 = A + X-n/B + X-n , n = 0,1,... where {X-n} is a sequence of positive fuzzy numbers, A, B and the initial value x(0) are positive fuzzy numbers. Moreover an example is given to demonstrate the effectiveness of the results obtained. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:226 / 236
页数:11
相关论文
共 50 条
  • [1] The linear difference equation of the first order
    Barnes, EW
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1905, 2 : 438 - 469
  • [2] On Third Order Fractal Fuzzy Difference Equation
    Zhang, Qianhong
    Liu, Jingzhong
    Shao, Yuanfu
    INTERNATIONAL SYMPOSIUM ON FUZZY SYSTEMS, KNOWLEDGE DISCOVERY AND NATURAL COMPUTATION (FSKDNC 2014), 2014, : 391 - 400
  • [3] The linear difference equation of the first order.
    Williams, KP
    ANNALS OF MATHEMATICS, 1913, 15 : 129 - 135
  • [4] The exact difference equation of the first order.
    Milne-Thomson, LM
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1933, 29 : 373 - 381
  • [5] On a higher order fuzzy difference equation with a quadratic term
    Redjam, Ibtissem
    Halim, Yacine
    Feckan, Michal
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, : 429 - 452
  • [6] On the dynamics of a five-order fuzzy difference equation
    Wang, Changyou
    Su, Xiaolin
    Liu, Ping
    Hu, Xiaohong
    Li, Rui
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3303 - 3319
  • [7] Global Behavior of a Higher Order Fuzzy Difference Equation
    Su, Guangwang
    Sun, Taixiang
    Qin, Bin
    MATHEMATICS, 2019, 7 (10)
  • [8] PARAMETRICAL IDENTIFICATION OF THE SPECIAL EQUATION RICATTI ON THE BASIS OF STOCHASTIC DIFFERENCE EQUATIONS
    Zoteev, V. E.
    Ovsienko, A. S.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2008, (01): : 171 - 174
  • [9] TRANSFORMATION OF THE LINEAR DIFFERENCE EQUATION INTO A SYSTEM OF THE FIRST ORDER DIFFERENCE EQUATIONS
    Ayzatsky, M. I.
    PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY, 2019, (04): : 76 - 80
  • [10] A Criterion for Correct Solvability of a First Order Difference Equation
    Kerimkhulle, Seyit
    Aitkozha, Zhangeldi
    INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017), 2017, 1880