文章基本信息

标题：Behavior and periodic solutions of a two-dimensional systems of rational difference equations
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作者：E. M. Elabbasy ; A. A. Elsadany ; Samia Ibrahim 等
期刊名称：Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN：2194-3907
电子版ISSN：2194-3907
出版年度：2016
卷号：2016
期号：2
页码：87-104
DOI：10.5899/2016/jiasc-00107
出版社：ISPACS GmbH
摘要：This paper is devoted to investigate the local asymptotic stability, boundedness and periodic solutions of particular cases of the following general system of difference equations: x_{n+1}=\frac{a_{1}y_{n-1}+a_{2}x_{n-3}+a_{3}}{a_{4}y_{n-1}x_{n-3}+a_{5}},\text{ \ \ \ \ }y_{n+1}=\frac{b_{1}x_{n-1}+b_{2}y_{n-3}+b_{3}}{b_{4}x_{n-1}y_{n-3}+b_{5}}, where the initial conditions $x_{-3},$ $x_{-2},$ $x_{-1},$ $x_{0},$ $y_{-3},$ $y_{-2},$ $y_{-1}$ and $y_{0}$ are arbitrary nonzero real numbers and $a_{i}$ and $b_{i}$ for $i=1,2,3,4,5$ are arbitrary real numbers. Also, we give some numerical examples to illustrate our results.
关键词：Difference equations; Boundedness; Periodic solutions; System of difference equations; Stability