Dynamics of a second-order system of nonlinear difference equations
International Journal of Nonlinear Analysis and Applications, cilt.11, sa.2, ss.391-407, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2020
- Doi Numarası: 10.22075/ijnaa.2020.17257.1919
- Dergi Adı: International Journal of Nonlinear Analysis and Applications
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.391-407
- Anahtar Kelimeler: Difference equation, stability, global stability, periodicity, eventually periodicity
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of nonlinear difference equations xn+1 = xn−1yn − 1, yn+1 = yn−1xn − 1 n = 0, 1, …, where the initial values are real numbers. Additionally we present some numerical examples to verify our theoretical results.