Dynamical analysis of a non-linear difference equation
Journal of Computational Analysis and Applications, cilt.26, sa.2, ss.288-301, 2019 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 2
- Basım Tarihi: 2019
- Dergi Adı: Journal of Computational Analysis and Applications
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.288-301
- Anahtar Kelimeler: Asymptotic periodicity, Difference equation, Equilibrium point, Periodicity, Unbounded
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this article, we investigate the dynamics of the solutions of the following non-linear difference equation xn+1 = xn-2xn-3 - 1; n ∈ ℕ0 with arbitrary initial conditions x-2; x-1; x0. Besides, we have studied peri- odic behaviours of related difference equation especially asymptotic periodicity and eventually periodicity. Then, we have researched unbounded solutions of difference equation.