差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0x_n+B2xn-2+…+B2kxn-2k)的动力学(英文)

被引:2
|
作者
王琦 [1 ]
曾凡平 [2 ]
刘新和 [2 ]
严可颂 [3 ]
机构
[1] 广西工学院信息与计算科学系
[2] 广西大学数学与信息科学学院
[3] 柳州师范高等专科学校数学系
关键词
差分方程; 有界性; 周期解; 全局吸因子;
D O I
10.13656/j.cnki.gxkx.2007.04.017
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
考察差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0x_n+B2xn-2+…+B2kxn-2k),n=0,1,…的动力学行为,在4种情形下分别讨论方程解的性质.
引用
收藏
页码:381 / 385
页数:5
相关论文
共 5 条
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  • [2] Dynamics of second order rational difference equations with open problems and conjectures. KULENOVI C ′M R S,LADAS G. . 2001
  • [3] Dynamics of a rational difference Equation. LI W,SUN H. Applied Mathematics and Computation . 2005
  • [4] On the trichotomy character of xn+1= (α+γxn-1)/(A + Bxn+ xn-2). CHATTERJEE E,GROVE E A,KOSTROV Y,et al. Journal of Differential Equations . 2003
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    Radin, M
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (02) : 171 - 199