Periodicity of the positive solutions of a fuzzy max-difference equation
type: Item
instance of: scholarly article
title: Periodicity of the positive solutions of a fuzzy max-difference equation
zbMATH Open document ID: 1474.39029
DOI: 10.1155/2014/760247
author: Qiuli He
author: Chunyan Tao
author: Taixiang Sun
author: Dongwei Su
author: Xinhe Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the periodic nature of the positive solutions of the fuzzy max-difference equation \(x_{n + 1} = \text{max} \left\{A_n / x_{n - m}, x_{n - k}\right\}, n = 0,1, \ldots\), where \(k, m \in \{1,2, \ldots \}\), \(A_n\) is a periodic sequence of fuzzy numbers, and \(x_{- d}, x_{- d + 1}, \ldots, x_0\) are positive fuzzy numbers with \(d = \left\{m, k\right\}\). We show that every positive solution of this equation is eventually periodic with period \(k + 1\).
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 34A07
zbMATH DE Number: 7023031
Wikidata QID: Q59041297
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/760247
OpenAlex ID: W2027299675
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description: scientific article; zbMATH DE number 7023031