2002
DOI: 10.1007/s00500-001-0161-7
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On the fuzzy difference equation x n+1 = A+B/x n

Abstract: In this paper we study the existence the oscillatory behavior the boundedness and the asymptotic behavior of the positive solutions of the fuzzy equation x n1 A B=x n ; n 0; 1; . . . where x n is a sequence of fuzzy numbers, A, B are fuzzy numbers.

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Cited by 52 publications
(34 citation statements)
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“…Papaschinopoulos et.al. [14,15]. Papaschinopoulos and Schinas [16] discuss the behavior and solution of some different type of fuzzy difference equations.…”
Section: Review On Fuzzy Difference Equationmentioning
confidence: 99%
See 1 more Smart Citation
“…Papaschinopoulos et.al. [14,15]. Papaschinopoulos and Schinas [16] discuss the behavior and solution of some different type of fuzzy difference equations.…”
Section: Review On Fuzzy Difference Equationmentioning
confidence: 99%
“…[14,15]. Papaschinopoulos and Schinas [16] discuss the behavior and solution of some different type of fuzzy difference equations. Papaschinopoulos and Stefanidou [17] give a description on boundedness and asymptotic behavior of the solutions of a fuzzy difference equation.…”
Section: Review On Fuzzy Difference Equationmentioning
confidence: 99%
“…where α, p, q ∈ (0, ∞), k, l ∈ N, k = l (see, for example, [30], as well as [9,10,26] and the related references therein), as well as of the corresponding two-dimensional symmetric systems of difference equations, such as…”
Section: Introductionmentioning
confidence: 99%
“…In a series of papers, we have studied some equations and systems, which, for some values of parameters, are reduced to product-type ones (see, for example, [29], as well as [4,5,19] and the references therein). The product-type equations and systems have helped to some extent in the study of the original/general equations and systems.…”
Section: Introductionmentioning
confidence: 99%