Global Asymptotic Stability of a Nonautonomous Difference Equation

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Gumus M., Ocalan O.

JOURNAL OF APPLIED MATHEMATICS, cilt.2014, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/395954
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

We study the following nonautonomous difference equation: x(n+1) = (x(n)x(n-1) + p(n))/(x(n) + x(n-1)), n = 0, 1, ..., where p(n) > 0 is a period-2 sequence and the initial values x(-1), x(0) is an element of (0, infinity). We show that the unique prime period-2 solution of the equation above is globally asymptotically stable.