Solutions of a System of Two Higher-Order Difference Equations in Terms of Lucas Sequence
In this paper we give some theoretical explanations related to the representation for the general solution of the system of the higher-order rational difference equations $$ x_{n+1} = \frac{5 y_{n-k}-5}{y_{n-k}}, \qquad y_{n+1} = \frac{5 x_{n-k}-5}{x_{n-k}} ,\qquad n, k\in \mathbb{N}_0, $$ where ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2019-12-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/901837 |