On the Qualitative Behavior of a Difference Equation  

作　　者：XIAO Qian SHI Qi-hong 

机构地区：[1]Department of Basic Sciences, Hebei Finance University, Baoding 071051, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第1期93-98,共6页数学季刊（英文版）

基　　金：Supported by the NSF for Colleges and Universities of Hebei Province(Z2011162,Z2011111)

摘　　要：This paper is concerned with the following rational difference equation xn+1=axn-bxn-1+ex2n/(cXn+dxn-1), with the initial conditions x-1 , x0 ∈ (0, +∞) and a, b, c, d, e ∈ R+ . Locally asymptotically stability, global attractively and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.This paper is concerned with the following rational difference equation xn＋1 = axn - bxn-1 ＋ exn^2/（cxn ＋ dxn-1）, with the initial conditions x-1, x0 ∈ （0,＋∞） and a, b, c, d, e ∈ R^＋. Locally asymptotically stability, global attractively and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.

关 键 词：global stability ATTRACTIVELY BOUNDEDNESS numerical simulation 

分 类 号：O175[理学—数学]