International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Three-dimensional max-type cyclic system of difference equations

Tarek F. Ibrahim
Department of Mathematics, Faculty of Sciences and Arts (S. A.), King Khalid University, Abha, Saudi Arabia. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
Email: [email protected] or [email protected]

  •  Accepted: 20 March 2013
  •  Published: 23 April 2013

Abstract

We show that all solutions of the max-type cyclic system of difference equations  ,   where  ,  is real positive number, and initial values  and  , are  periodic with period three. Finally we generalized the results for more general system which is finite dimensional system.

 

Key words: Max-type system, difference equations, eventually periodic solutions.

 

2000 Mathematics Subject Classification, Primary 39A10, Secondary 40A05.