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文章基本信息

  • 标题:Qualitative behavior of a rational difference equation
  • 本地全文:下载
  • 作者:Xiao Qian ; Shi Qi-hong
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2011
  • 卷号:2011
  • 期号:1
  • 页码:6
  • DOI:10.1186/1687-1847-2011-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This article is concerned with the following rational difference equation y n+1= (y n + y n-1)/(p + y n y n-1) with the initial conditions; y -1, y 0 are arbitrary positive real numbers, and p is positive constant. Locally asymptotical stability and global attractivity of the equilibrium point of the equation are investigated, and non-negative solution with prime period two cannot be found. Moreover, simulation is shown to support the results.
  • 关键词:Global stability ; attractivity ; solution with prime period two ; numerical simulation
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