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  • 标题:Global Analysis of Solutions of a New Class of Rational Difference Equation
  • 本地全文:下载
  • 作者:O. Moaaz ; E. M. Elabbasy ; Sh. Alsaeed
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2017
  • 卷号:07
  • 期号:04
  • 页码:495-503
  • DOI:10.4236/ajcm.2017.74036
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:The study suggests asymptotic behavior of the solution to a new class of difference equations: . where a, bi, α and β are positive real numbers for i = 0, 1, · · · , k , and the initial conditions ψ -j, ψ -j+1, · · · , ψ 0 are randomly positive real numbers where j = 2 k + 1 . Accordingly, we consider the stability, boundedness an d periodicity of the solutions of this recursive sequence. Indeed, we give some interesting counter examples in order to verify our strong results.
  • 关键词:Difference Equation;Stability;Boundedness;Globale Stability and Periodicity
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