Asymptotic behavior and periodic nature of two difference equations

• Datum: 2009
• Hauptverfasser: Khalaf-Allah, R., Халаф-Аллах, Р.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3061
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We discuss the global asymptotic stability of the solutions of the difference equations $$x_{n+1} = \frac{x_{n−2}}{±1 + x_nx_{n−1}x_{n−2}}, \quad n = 0,1,…,$$ where the initial conditions $x_{−2}, x_{−1}, x_0$ are real numbers.