Global Asymptotic Stability of a Nonautonomous Difference Equation
JOURNAL OF APPLIED MATHEMATICS, cilt.2014, 2014 (SCI-Expanded)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.