Dynamical behavior of a third-order rational fuzzy difference equation

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• 作者：Qianhong Zhang (1)
  Jingzhong Liu (2)
  Zhenguo Luo (3)
  
  1. Key Laboratory of Economics System Simulation ; School of Mathematics and Statistics ; Guizhou University of Finance and Economics ; Guiyang ; Guizhou ; 550025 ; People鈥檚 Republic of China
  2. Department of Mathematics and Physics ; Hunan Institute of Technology ; Hengyang ; Hunan ; 421002 ; People鈥檚 Republic of China
  3. Department of Mathematics ; Hengyang Normal University ; Hengyang ; Hunan ; 421002 ; People鈥檚 Republic of China
  
• 关键词：39A10 ; fuzzy difference equation ; boundedness ; persistence ; global asymptotic behavior
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,283 KB
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• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

According to a generalization of division (g-division) of fuzzy numbers, this paper is concerned with the boundedness, persistence and global behavior of a positive fuzzy solution of the third-order rational fuzzy difference equation $$x_{n+1}=A+\frac{x_{n}}{x_{n-1}x_{n-2}},\quad n=0,1,\ldots, $$ where A and initial values \(x_{0}\) , \(x_{-1}\) , \(x_{-2}\) are positive fuzzy numbers. Moreover, some examples are given to demonstrate the effectiveness of the results obtained.