## 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

### Keywords:

long-term behavior; difference equation
Full Text:

### References:

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