Some Notes on the Difference Equation xn+1 = alpha + (xn-1/x(n)(k))

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Gumus M., Ocalan O.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, cilt.2012, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/258502
  • Dergi Adı: DISCRETE DYNAMICS IN NATURE AND SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

We investigate the behavior of the solutions of the recursive sequence x(n+1) = alpha + x(n-1)/x(n)(k), n = 0,1,..., where alpha is an element of [0,infinity), k is an element of (0,infinity), and the initial conditions x(-1), x(0) are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009).