Internet of Things and Cloud Computing

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Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation

Received: 21 December 2018    Accepted: 14 January 2019    Published: 30 January 2019
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Abstract

Our aim in this paper is to investigate the dynamics of a third-order fuzzy difference equation. By using new iteration method for the more general nonlinear difference equations and inequality skills as well as a comparison theorem for the fuzzy difference equation, some sufficient conditions which guarantee the existence, unstability and global asymptotic stability of the equilibriums for the nonlinear fuzzy system are obtained. Moreover, some numerical solutions of the equation describing the system are given to verify our theoretical results.

DOI 10.11648/j.iotcc.20190701.11
Published in Internet of Things and Cloud Computing (Volume 7, Issue 1, March 2019)
Page(s) 1-11
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fuzzy Difference Equation, Boundedness, Existence, Uniqueness, Asymptotic Behavior

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Author Information
  • College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China

  • College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China

  • College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China; College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, P. R. China

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  • APA Style

    Xiaotong Jing, Yonghong Li, Changyou Wang. (2019). Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation. Internet of Things and Cloud Computing, 7(1), 1-11. https://doi.org/10.11648/j.iotcc.20190701.11

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    ACS Style

    Xiaotong Jing; Yonghong Li; Changyou Wang. Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation. Internet Things Cloud Comput. 2019, 7(1), 1-11. doi: 10.11648/j.iotcc.20190701.11

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    AMA Style

    Xiaotong Jing, Yonghong Li, Changyou Wang. Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation. Internet Things Cloud Comput. 2019;7(1):1-11. doi: 10.11648/j.iotcc.20190701.11

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  • @article{10.11648/j.iotcc.20190701.11,
      author = {Xiaotong Jing and Yonghong Li and Changyou Wang},
      title = {Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation},
      journal = {Internet of Things and Cloud Computing},
      volume = {7},
      number = {1},
      pages = {1-11},
      doi = {10.11648/j.iotcc.20190701.11},
      url = {https://doi.org/10.11648/j.iotcc.20190701.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.iotcc.20190701.11},
      abstract = {Our aim in this paper is to investigate the dynamics of a third-order fuzzy difference equation. By using new iteration method for the more general nonlinear difference equations and inequality skills as well as a comparison theorem for the fuzzy difference equation, some sufficient conditions which guarantee the existence, unstability and global asymptotic stability of the equilibriums for the nonlinear fuzzy system are obtained. Moreover, some numerical solutions of the equation describing the system are given to verify our theoretical results.},
     year = {2019}
    }
    

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    T1  - Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation
    AU  - Xiaotong Jing
    AU  - Yonghong Li
    AU  - Changyou Wang
    Y1  - 2019/01/30
    PY  - 2019
    N1  - https://doi.org/10.11648/j.iotcc.20190701.11
    DO  - 10.11648/j.iotcc.20190701.11
    T2  - Internet of Things and Cloud Computing
    JF  - Internet of Things and Cloud Computing
    JO  - Internet of Things and Cloud Computing
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    EP  - 11
    PB  - Science Publishing Group
    SN  - 2376-7731
    UR  - https://doi.org/10.11648/j.iotcc.20190701.11
    AB  - Our aim in this paper is to investigate the dynamics of a third-order fuzzy difference equation. By using new iteration method for the more general nonlinear difference equations and inequality skills as well as a comparison theorem for the fuzzy difference equation, some sufficient conditions which guarantee the existence, unstability and global asymptotic stability of the equilibriums for the nonlinear fuzzy system are obtained. Moreover, some numerical solutions of the equation describing the system are given to verify our theoretical results.
    VL  - 7
    IS  - 1
    ER  - 

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