On a fuzzy difference equation

Esref Hatir; Toufik Mansour; Ibrahim Yalci̧nkaya

On a fuzzy difference equation

Esref Hatir
, Toufik Mansour
, Ibrahim Yalci̧nkaya

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we investigate the existence, boundedness, asymptotic behavior and oscillatory behavior of the positive solutions of the fuzzy difference equation x_n+1 =A+B/x_n-1, n = 0,1,2,..., where x_n is a sequence of fuzzy numbers and A, B, x_o, and x-₁ are fuzzy numbers.

Original language	English
Pages (from-to)	135-151
Number of pages	17
Journal	Utilitas Mathematica
Volume	93
State	Published - Mar 2014

Keywords

A-cuts
Asymptotic behavior
Boundedness
Fuzzy difference equation
Fuzzy number
Oscillatory behavior
Persistence

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

Cite this

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title = "On a fuzzy difference equation",

abstract = "In this paper, we investigate the existence, boundedness, asymptotic behavior and oscillatory behavior of the positive solutions of the fuzzy difference equation xn+1 =A+B/xn-1, n = 0,1,2,..., where xn is a sequence of fuzzy numbers and A, B, xo, and x-1 are fuzzy numbers.",

keywords = "A-cuts, Asymptotic behavior, Boundedness, Fuzzy difference equation, Fuzzy number, Oscillatory behavior, Persistence",

author = "Esref Hatir and Toufik Mansour and Ibrahim Yalc{\c i}nkaya",

year = "2014",

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language = "English",

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journal = "Utilitas Mathematica",

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AU - Hatir, Esref

AU - Mansour, Toufik

AU - Yalci̧nkaya, Ibrahim

PY - 2014/3

Y1 - 2014/3

N2 - In this paper, we investigate the existence, boundedness, asymptotic behavior and oscillatory behavior of the positive solutions of the fuzzy difference equation xn+1 =A+B/xn-1, n = 0,1,2,..., where xn is a sequence of fuzzy numbers and A, B, xo, and x-1 are fuzzy numbers.

AB - In this paper, we investigate the existence, boundedness, asymptotic behavior and oscillatory behavior of the positive solutions of the fuzzy difference equation xn+1 =A+B/xn-1, n = 0,1,2,..., where xn is a sequence of fuzzy numbers and A, B, xo, and x-1 are fuzzy numbers.

KW - A-cuts

KW - Asymptotic behavior

KW - Boundedness

KW - Fuzzy difference equation

KW - Fuzzy number

KW - Oscillatory behavior

KW - Persistence

UR - https://www.scopus.com/pages/publications/84897886636

M3 - Article

AN - SCOPUS:84897886636

SN - 0315-3681

VL - 93

SP - 135

EP - 151

JO - Utilitas Mathematica

JF - Utilitas Mathematica

ER -

On a fuzzy difference equation

Abstract

Keywords

ASJC Scopus subject areas

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