## Abstract and Applied Analysis

### Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation

#### Abstract

We investigate the periodic nature of the positive solutions of the fuzzy max-difference equation ${x}_{n+1}=\text{max}\{{A}_{n}/{x}_{n-m},{x}_{n-k}\},n=0,1,\dots$, where $k,m\in \{\mathrm{1,2},\dots \}$, ${A}_{n}$ is a periodic sequence of fuzzy numbers, and ${x}_{-d},{x}_{-d+1},\dots ,{x}_{0}$ are positive fuzzy numbers with $d=\{m,k\}$. We show that every positive solution of this equation is eventually periodic with period $k+1$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 760247, 4 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425049093

Digital Object Identifier
doi:10.1155/2014/760247

Mathematical Reviews number (MathSciNet)
MR3214451

Zentralblatt MATH identifier
07023031

#### Citation

He, Qiuli; Tao, Chunyan; Sun, Taixiang; Liu, Xinhe; Su, Dongwei. Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 760247, 4 pages. doi:10.1155/2014/760247. https://projecteuclid.org/euclid.aaa/1425049093

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