Formulas of the solutions of a non-autonomous difference equation and two systems of difference equations
In this work, we explicitly solve the following: * A higher-order non-autonomous difference equation: \begin{equation*} x_{n+1} = \alpha_{n} x_{n-k} + \frac{\beta_{n}}{x_{n} x_{n-1} \cdots x_{n-k+1}}, \end{equation*} where $n \in \mathbb{N}_{0}$, $k \in \mathbb{N}$, the sequences $\left(\alpha_{...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2024-12-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1884 |
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