| Volume 15, Number 2, 2025, Pages - DOI：10.11948/JAAC-2023-0342 |
| Asymptotic feature of discrete second-order fuzzy difference equation with quadratic term |
| Qianhong Zhang,Zhongni Zhang,Fei Jin,Bairong Pan |
| Keywords:fuzzy difference equation boundedness persistence global asymptotic behavior g-division |
| Abstract: |
| This paper is concerned with the asymptotic feature of a discrete second-order fuzzy difference equation (FDE) with quadratic term. Specifically,
using a generalization of division (g-division) of fuzzy numbers, we study the boundedness, persistence, and global behavior of a positive fuzzy
solution of the following model
$$ x_{n+1}=A+\frac{Bx_{n}^2}{x_{n-1}^2},\ \ n=0,1,\cdots ,$$
where $A, B$ and initial values $x_0$ and $x_{-1}$ are positive fuzzy numbers. Moreover, two examples are provided to demonstrate the effectiveness of the results obtained. |
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