In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following four rational difference equations% \begin{eqnarray*} x_{n+1} &=&\frac{1}{x_{n}\left( x_{n-1}\pm 1\right) \pm 1}\text{,} \\ x_{n+1} &=&\frac{-1}{x_{n}\left( x_{n-1}\pm 1\right) \mp 1}\text{,} \end{eqnarray*}% such that their solutions are associated with Tribonacci numbers.
difference equations; equilibrium point; global asymptotic stability; solutions; tribonacci number
Birincil Dil | İngilizce |
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Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2020 |
Gönderilme Tarihi | 28 Haziran 2019 |
Kabul Tarihi | 25 Şubat 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 8 Sayı: 1 |