文章基本信息

标题：On the solutions of a max-type system of difference equations of higher order
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作者：Guangwang Su ; Caihong Han ; Taixiang Sun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-13
DOI：10.1186/s13662-020-02673-2
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the following max-type system of difference equations of higher order: $$ \textstyle\begin{cases} x_{n} = \max \{A ,\frac{y_{n-t}}{x_{n-s}} \}, \\ y_{n} = \max \{B ,\frac{x_{n-t}}{y_{n-s}} \},\end{cases}\displaystyle \quad n\in \{0,1,2,\ldots \}, $$ where $A,B\in (0, +\infty )$, $t,s\in \{1,2,\ldots \}$ with $\gcd (s,t)=1$, the initial values $x_{-d},y_{-d},x_{-d+1},y_{-d+1}, \ldots , x_{-1}, y_{-1}\in (0,+ \infty )$ and $d=\max \{t,s\}$.
关键词：Max-type system of difference equations;Solution;Eventual periodicity;