Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation

被引：7
作者：
Kulenovic, Mustafa R. S. [1 ]
Pilav, Esmir [2 ]
Silic, Enesa [3 ]
机构：
[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA
[2] Univ Sarajevo, Dept Math, Sarajevo 71000, Bosnia & Herceg
[3] High Sch, Cazin, Bosnia & Herceg
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
boundedness; difference equation; global attractivity; local stability; period-two solutions; SYSTEMS;
D O I：
10.1186/1687-1847-2014-68
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the local and global character of the equilibrium and the local stability of the period-two solution of the difference equation x(n+1) = beta x(n)x(n-1) + gamma x(n-1)(2) + delta x(n)/beta x(n)x(n-1) + Cx(n-1)(2) +Dx(n) where the parameters beta, gamma, delta, B, C, D are nonnegative numbers which satisfy and the initial conditions and are arbitrary nonnegative numbers such that Bx(n)x(n-1) + Cx(n-1)(2) + Dx(n) > 0 for all n >= 0 .
引用
收藏
页数：32
相关论文
共 25 条
  • [1] Asymptotic expansions for higher-order scalar difference equations
    Agarwal, Ravi P.
    Pituk, Mihaly
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
  • [2] Allen L. J., 2006, An introduction to mathematical biology
  • [3] Amleh A.M., 2008, Int. J. Difference Equ, V3, P195
  • [4] Amleh A.M., 2008, INT J DIFFERENCE EQU, V3, P1
  • [5] Brett A., 2009, Sarajevo J. Math, V5, P211
  • [6] Camouzis E., 2008, Dynamics of third-order rational difference equations with open problems and conjectures, Volume, V5
  • [7] DiPippo M, GLOBAL STAB IN PRESS
  • [8] Elaydi S., 2005, INTRO DIFFERENCE EQU
  • [9] Elaydi S., 2008, DISCRETE CHAOS APPL
  • [10] Enciso GA, 2006, DISCRETE CONT DYN-A, V14, P549
123