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

Lili Jia and Basil K. Papadopoulos

Journal of Mathematics, 2020, vol. 2020, 1-13

Abstract: 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1737983

DOI: 10.1155/2020/1737983

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