文章基本信息

标题：Dynamics of difference equation x n + 1 = f ( x n − l , x n − k ) $x_{n+1}=f( x_{n-l},x_{n-k})$
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作者：Osama Moaaz
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：447
DOI：10.1186/s13662-018-1896-0
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we present the asymptotic behavior of the solutions for a general class of difference equations. We introduce general theorems in order to study the stability and periodicity of the solutions. Moreover, we use a new technique to study the existence of periodic solutions of this general equation. By using our general results, we can study many special cases that have not been studied previously and some problems that were raised previously. Some numerical examples are provided to illustrate the new results.
关键词：Difference equation ; Equilibrium points ; Local and global stability ; Prime period two