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Original Articles

Bounded implies eventually periodic for the positive case of reciprocal-max difference equation with periodic parameters

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Pages 321-326 | Received 05 Jan 2006, Accepted 27 Jul 2007, Published online: 24 Jun 2008

References

  • Ladas , G. 1996 . On the recursive sequence open conjectures and problems . J. Differ. Equ. Appl. , 2 : 339 – 341 .
  • Voulov , H. 2002 . Periodic solutions to a difference equation with maximum . Proc. Amer. Math. Soc. , 131 ( 7 ) : 2150 – 2160 . February
  • Istvan , S. 1999 . On the periodicity of the sequence . J. Diff. Equ. Appl. , 5 : 25 – 29 .
  • D. Weller, Hilbert's metric, part metric and selfmappings of a cone, PhD dissertation, Univ. of Bremin, West Germany, December 1987. (Available from the Center for Research Library, crl.edu )
  • Kent , C. and Radin , M. 2003 . On the boundedness nature of positive solutions of the difference equation with periodic parameters . Dynamics of Continuous, Discrete, and Impulsive Systems, Series B, Applications and Algorithms , : 11 – 15 . supplement
  • Voulov , H. 2004 . On the periodic nature of solutions of the reciprocal difference equation with maximum . J. Math. Anal. Appl. , 296 : 32 – 43 .

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