IJPAM: Volume 52, No. 5 (2009)
THE DYNAMICAL BEHAVIOR OF A CLASS OF HIGH
ORDER NONLINEAR RATIONAL DIFFERENCE EQUATIONS
ORDER NONLINEAR RATIONAL DIFFERENCE EQUATIONS
Zhi-Long Jin
Department of Mathematics
School of Information Engineering
Lanzhou Commercial College
Lanzhou, Gansu, 730020, P.R. CHINA
e-mail: jinzhl@lzcc.edu.cn
Department of Mathematics
School of Information Engineering
Lanzhou Commercial College
Lanzhou, Gansu, 730020, P.R. CHINA
e-mail: jinzhl@lzcc.edu.cn
Abstract.The purpose of this note is to investigate the global stability of the
positive equilibrium of the following high order nonlinear rational
difference equation:

where



Received: October 10, 2007
AMS Subject Classification: 39A10
Key Words and Phrases: high order nonlinear difference equation, positive equilibrium, global asymptotic stability
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 5