- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 1
- On a nonlinear fuzzy difference equation
On a nonlinear fuzzy difference equation
Authors : Ibrahim Yalçinkaya, Vildan Çalişkan, Durhasan Turgut Tollu
Pages : 68-78
Doi:10.31801/cfsuasmas.861915
View : 17 | Download : 4
Publication Date : 2022-03-30
Article Type : Research
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 ( z n ) (zn) is a sequence of positive fuzzy numbers, A A and the initial conditions z − j z−j ( j = 0 , 1 , 2 ) (j=0,1,2) are positive fuzzy numbers and p p is a positive integer.Keywords : Asymptotic behavior, $alpha -$cuts, boundedness, fuzzy difference equations, fuzzy number, stability