On a nonlinear fuzzy difference equation

Year 2022, Volume: 71 Issue: 1, 68 - 78, 30.03.2022

İbrahim Yalçınkaya , Vildan Çalışkan , Durhasan Turgut Tollu

https://doi.org/10.31801/cfsuasmas.861915

Cited By: 9

https://izlik.org/JA55HH89TS

Abstract

In this paper we investigate the existence, the boundedness and the
asymptotic behavior of the positive solutions of the fuzzy difference
equation

\[z_{n+1}=\dfrac{Az_{n-1}}{1+z_{n-2}^{p}},~n\in\mathbb{N}_{0}\]

where $\left(z_n\right)$ is a sequence of positive fuzzy numbers, $A$ and the initial
conditions $z_{-j}$ $(j=0,1,2)$are positive fuzzy numbers and
$p$ is a positive integer.

Keywords

Asymptotic behavior , $\alpha -$cuts , boundedness , fuzzy difference equations , fuzzy number , stability

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