On the fuzzy difference equation \(x_{n+1} = A+B/x_n\)
type: Item
instance of: scholarly article
title: On the fuzzy difference equation \(x_{n+1} = A+B/x_n\)
zbMATH Open document ID: 1033.39014
published in: Soft Computing
publication date: 2003-08-31T00:00:00Z
review text: A linear recurrence with fuzzy coefficients was considered by \textit{E. Y. Deeba}, \textit{A. de Korvin} and \textit{E. L. Koh} [ J. Differ. Equ. Appl. 2, 365--374 (1996; Zbl 0882.39002)]. Here, the simple nonlinear case (as in the title) with fuzzy coefficients is examined. Fuzzy coefficients and fuzzy solutions are considered normalized fuzzy numbers [cf. \textit{R. Goetschel jun.} and \textit{W. Voxman}, Fuzzy Sets Syst. 18, 31--43 (1986; Zbl 0626.26014)]. After collecting necessary results about systems of Riccati difference equations [cf. \textit{V. L. Kocic} and \textit{G. Ladas}, Global behaviour of nonlinear difference equations of higher order with applications, Kluwer, Dordrecht (1993; Zbl 0787.39001)] the existence, convergence and oscillation of positive fuzzy solutions (of the title equation) are examined.
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 1972615
zbMATH Keywords: fuzzy difference equation
zbMATH Keywords: linear recurrence
zbMATH Keywords: fuzzy number
zbMATH Keywords: fuzzy arithmetic
zbMATH Keywords: fuzzy solutions
zbMATH Keywords: systems of Riccati difference equations
zbMATH Keywords: convergence
zbMATH Keywords: oscillation
zbMATH Keywords: positive fuzzy solutions
author: G. Papaschinopoulos
author: B. K. Papadopoulos
MaRDI profile type: Publication
full work available at URL: s00500-001-0161-7
OpenAlex ID: W2031597801
DOI: 10.1007/S00500-001-0161-7
description: scientific article; zbMATH DE number 1972615