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.
| Published in | Internet of Things and Cloud Computing (Volume 7, Issue 1) |
| DOI | 10.11648/j.iotcc.20190701.11 |
| Page(s) | 1-11 |
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Fuzzy Difference Equation, Boundedness, Existence, Uniqueness, Asymptotic Behavior
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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
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
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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Download@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://article.sciencepublishinggroup.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}
}
TY - JOUR 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 SP - 1 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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