International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Dynamics of a higher - order nonlinear rational difference equation

S. Ebru Das1 and Mustafa Bayram2*
1Department of Mathematics, Faculty of Art and Sciences, Yildiz Technical University, Esenler, Istanbul, Turkey. 2Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, 34250- Esenler, Ä°stanbul, Turkey.  
Email: [email protected]

  •  Accepted: 04 April 2011
  •  Published: 18 June 2011

Abstract

In this paper, we consider the higher-order nonlinear rational difference equation , where the parameters  and the initial conditions . We investigate the periodic character, the invariant intervals and the global asymptotic stability of all positive solutions of the equation.

 

Key words: Difference equation, stability, periodicity, invariant interval, global stability.