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  • 标题:Local Stability of Period Two Cycles of Second Order Rational Difference Equation
  • 本地全文:下载
  • 作者:S. Atawna ; R. Abu-Saris ; I. Hashim
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/969813
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We consider the second order rational difference equation   n = 0,1,2,…, where the parameters are positive real numbers, and the initial conditions are nonnegative real numbers. We give a necessary and sufficient condition for the equation to have a prime period-two solution. We show that the period-two solution of the equation is locally asymptotically stable. In particular, we solve Conjecture 5.201.2 proposed by Camouzis and Ladas in their book (2008) which appeared previously in Conjecture 11.4.3 in Kulenović and Ladas monograph (2002).
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