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Matematicheskie Zametki, 2023, Volume 113, Issue 2, Pages 295–307
DOI: https://doi.org/10.4213/mzm13886
(Mi mzm13886)
 

This article is cited in 2 scientific papers (total in 2 papers)

Behavior of Solutions to the Fuzzy Difference Equation $z_{n+1}=A+\dfrac{B}{z_{n-m}}$

I. Yalcinkayaa, H. El-Metwallyb, D. T. Tollua, H. Ahmadc

a Necmettin Erbakan University
b Mansoura University
c Istanbul Ticaret University
Full-text PDF (576 kB) Citations (2)
References:
Abstract: In this paper, we investigate the existence, the boundedness, the asymptotic behavior, and the oscillatory behavior of the positive solutions of the fuzzy difference equation
$$ z_{n+1}=A+\frac{B}{z_{n-m}}\,, $$
where $n\in\mathbb{N}_{0}=\mathbb{N}\cup\{0\}$, $(z_{n})$ is a sequence of positive fuzzy numbers, $A$, $B$, and the initial conditions $z_{-j}$, $j=1, 2,\dots,m$, are positive fuzzy numbers, and $m$ is a positive integer.
Keywords: fuzzy number, $\alpha$-cut, fuzzy difference equations, boundedness, convergence.
Received: 12.04.2021
Revised: 24.01.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 2, Pages 292–302
DOI: https://doi.org/10.1134/S0001434623010327
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: I. Yalcinkaya, H. El-Metwally, D. T. Tollu, H. Ahmad, “Behavior of Solutions to the Fuzzy Difference Equation $z_{n+1}=A+\dfrac{B}{z_{n-m}}$”, Mat. Zametki, 113:2 (2023), 295–307; Math. Notes, 113:2 (2023), 292–302
Citation in format AMSBIB
\Bibitem{YalEl-Tol23}
\by I.~Yalcinkaya, H.~El-Metwally, D.~T.~Tollu, H.~Ahmad
\paper Behavior of Solutions to the Fuzzy Difference Equation $z_{n+1}=A+\dfrac{B}{z_{n-m}}$
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 2
\pages 295--307
\mathnet{http://mi.mathnet.ru/mzm13886}
\crossref{https://doi.org/10.4213/mzm13886}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4563370}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 2
\pages 292--302
\crossref{https://doi.org/10.1134/S0001434623010327}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149978598}
Linking options:
  • https://www.mathnet.ru/eng/mzm13886
  • https://doi.org/10.4213/mzm13886
  • https://www.mathnet.ru/eng/mzm/v113/i2/p295
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Full-text PDF :16
    Russian version HTML:106
    References:41
    First page:6
     
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