Dynamic Behaviors of a Class of High-Order Fuzzy Difference Equations

The purpose of this paper is to give the conditions for the existence and uniqueness of positive solutions and the asymptotic stability of equilibrium points for the following high-order fuzzy difference equation: xn+1=Axn−1xn−2/B+∑i=3kCixn−i n=0,1,2,…, where xn is the sequence of positive fuzzy num...

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Bibliographic Details
Published inJournal of Mathematics Vol. 2020; no. 2020; pp. 1 - 13
Main Author Jia, Lili
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
Hindawi Limited
Wiley
Subjects
Difference equations
Eigenvalues
Equilibrium
Fuzzy sets
Initial conditions
Mathematical models
Mathematics
Numbers
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Summary:The purpose of this paper is to give the conditions for the existence and uniqueness of positive solutions and the asymptotic stability of equilibrium points for the following high-order fuzzy difference equation: xn+1=Axn−1xn−2/B+∑i=3kCixn−i n=0,1,2,…, where xn is the sequence of positive fuzzy numbers and the parameters A,B,C3,C4,…,Ck and initial conditions x0,x−1,x−2,x−ii=3,4,…,k are positive fuzzy numbers. Besides, some numerical examples describing the fuzzy difference equation are given to illustrate the theoretical results.
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/1737983