Periodic Solution for a Max-Type Fuzzy Difference Equation

Author:

Wang Changyou1ORCID,Li Jiahui1

Affiliation:

1. College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China

Abstract

The paper is concerned with the dynamics behavior of positive solutions for the following max-type fuzzy difference equation system: xn+1=maxA/xn,A/xn1,xn2,n=0,1,2,, where xn is a sequence of positive fuzzy numbers, and the parameter A and the initial conditions x2,x1,x0 are also positive fuzzy numbers. Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters. Then, the expression for the periodic solution of the max-type ordinary difference equations is obtained by the iteration, the inequality technique, and the mathematical induction. Moreover, we can obtain the expression for the periodic solution of the max-type fuzzy difference equation. In addition, the boundedness and persistence of solutions for the fuzzy difference equation is proved. Finally, the results of this paper are simulated and verified by using MATLAB 2016 software package.

Funder

Applied Basic Research Program of Sichuan Province

Publisher

Hindawi Limited

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. DYNAMIC BEHAVIOR OF A SEVEN-ORDER FUZZY DIFFERENCE EQUATION;Journal of Applied Analysis & Computation;2023

2. Qualitative analysis of second-order fuzzy difference equation with quadratic term;Journal of Applied Mathematics and Computing;2022-09-28

3. Analytical solution of a rational difference equation;Advanced Studies: Euro-Tbilisi Mathematical Journal;2022-03-01

4. On a Class of Discrete Max-Type Difference Equation Model of Order Four;Discrete Dynamics in Nature and Society;2022-01-29

5. On second-order fuzzy discrete population model;Open Mathematics;2022-01-01

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