• DocumentCode
    2860872
  • Title

    Qualitative Behavior of a Rational Difference Equation x_{n+1}=ax_n^2/(cx_n+bx_{n-1})

  • Author

    Qian, Xiao ; Qi-hong, Shi

  • Author_Institution
    Dept. of Basic Courses, Hebei Finance Univ., Baoding, China
  • fYear
    2011
  • fDate
    14-17 Oct. 2011
  • Firstpage
    151
  • Lastpage
    154
  • Abstract
    This paper is concerned with the following rational difference equation xn+1 = axn2 /(cxn + bxn-1), with the initial conditions x-1, x0 ∈(0, +∞), and a,b,c, ϵ R+. Locally asymptotically stability, global attractivity and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.
  • Keywords
    asymptotic stability; difference equations; rational functions; asymptotic stability; qualitative behavior; rational difference equation; Asymptotic stability; Difference equations; Mathematical model; Numerical simulation; Numerical stability; Stability analysis; Attractivity; Boundedness; Global stability; Numerical simulation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on
  • Conference_Location
    Wuxi
  • Print_ISBN
    978-1-4577-0327-0
  • Type

    conf

  • DOI
    10.1109/DCABES.2011.71
  • Filename
    6118582
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2860872