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**On the difference equation \(x_{n+1}=x_nx_{n-2}-1\).**
*(English)*
Zbl 1216.39016

Summary: The long-term behavior of solutions of the following difference equation: \(x_{n+1}=x_nx_{n-2}-1\), \(n\in\mathbb N_0\), where the initial values \(x_{-2}, x_{-1}, x_0\) are real numbers, is investigated.

### MSC:

39A22 | Growth, boundedness, comparison of solutions to difference equations |

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\textit{C. M. Kent} et al., Abstr. Appl. Anal. 2011, Article ID 815285, 15 p. (2011; Zbl 1216.39016)

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### References:

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