Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation
Internet of Things and Cloud Computing
Volume 7, Issue 1, March 2019, Pages: 1-11
Received: Dec. 21, 2018; Accepted: Jan. 14, 2019; Published: Jan. 30, 2019
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Authors
Xiaotong Jing, College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Yonghong Li, College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Changyou Wang, 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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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.
Keywords
Fuzzy Difference Equation, Boundedness, Existence, Uniqueness, Asymptotic Behavior
To cite this article
Xiaotong Jing, Yonghong Li, Changyou Wang, Boundedness and Asymptotic Behaviour of the Solutions for a Third- Order Fuzzy Difference Equation, Internet of Things and Cloud Computing. Vol. 7, No. 1, 2019, pp. 1-11. doi: 10.11648/j.iotcc.20190701.11
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Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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