Dynamical Behavior of a Third-Order Difference Equation with Arbitrary Powers
Mehmet Gumus, Raafat Abo-Zeid, Ozkan Ocalan
article (Uluslararası, Hakemli) | Yazar(lar): Mehmet Gumus, Raafat Abo-Zeid, Ozkan Ocalan | Yıl: 2017 | Dergi/Kurum: KYUNGPOOK MATHEMATICAL JOURNAL | İndeks: WOS.ESCI | DOI: 10.5666/kmj.2017.57.2.251 | Anahtar Kelimeler: equilibrium point, global stability, periodicity, boundedness, solution — Özet: The aim of this pap
The aim of this paper is to investigate the dynamical behavior of the difference equation
x(n+1) = alpha x(n)/beta + gamma x(n-1)(p) x(n-2)(q), n = 0, 1, ...,
where the parameters alpha, beta, gamma, p, q are non-negative numbers and the initial values x(-2), x(-1), x(0) are positive numbers. Also, some numerical examples are given to verify our theoretical results.