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关于递归序列xn+1=(α-βxn-1)/(γ+g(xn))的稳定性 被引量:1

Stability of Solutions for the Recursive Sequence xn+1=(α-βxn-1)/(γ+g(xn))
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摘要 研究递归序列,x(n+1)=[α-βx(n-1)]/γ+g(xn),n=0,1…的总体特性,其中α,β,γ≥0,g(x)是定义在(-∞,+∞)上的连续函数,并且满足一些条件。 In this paper, the global behavior of the recursive sequence x(n+1)=[α-βx(n-1)]/γ+g(xn) was studied. Where α,β,γ≥0 and g(x)was a continuous function defined on(-∞,+∞)which satisfied some additional conditions.
出处 《海军航空工程学院学报》 2010年第1期109-112,共4页 Journal of Naval Aeronautical and Astronautical University
关键词 全局吸引子 递归序列 差分方程 半环 global attractor recursive sequence difference equations semicycles
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参考文献8

  • 1EL-OWAIDY H M, AHMED A M, ELSADY Z. Global attractively of the recursive sequence xn+1=α-βxn-1/γ+xn[J].Appl. Math. Comp, 2004,151 (3):827-833.
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同被引文献7

  • 1ABU-SARIS R, DEVAULT R. Global stability of yn+1=A+(yn/yn-k) [J]. Applied Mathematics Letters, 2003,16:173-178.
  • 2SALEH M, ALOQEILI M. On the rational difference equation yn+1=A+(yn/yn-k) [J]. Journal of Computation- al and Applied Mathematics, 2006,177: 189-193.
  • 3KULENOVI' C M R S, LADAS G. Dynamics of second order rational difference equations[M]. Boca Raton: Chapman & Hall, 2002: 23-75.
  • 4ZENG X Y, SHI B, ZHANG D C. Stability of solutions for the recursive sequence[J]. Journal of Computational and Applied Mathematics, 2005,176: 283-291.
  • 5ABOUTALEB M T, EI-SAYED M A, HAMZA A E. Sta- bility of the recursive sequence[J]. Journal of Mathemat- ics Analysis and Applications, 2001,261 : 126-133.
  • 6ALAA E HAMZA, MORSY A. On the recursive sequence xn + 1 =α + xn-1/xn^k [J]. Applied Mathematics Letters, 2009,22: 91-95.
  • 7KOCIC V L, LADAS G. Global behavior of nonlinear dif- ference equations of higher order with applications[M]. London: Kluwe Academic Publishers, 1993:11-37.

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