## On the periodicity of the sequence $$x_{n+1} = \max\{\frac{A_0}{x_n},\frac{A_1}{x_{n-1}},\cdots,\frac{A_k}{x_{n-k}}\}$$.(English)Zbl 0930.39011

The author gives a complete characterization of the sequence defined by $x_{n+1}=\max \left\{{A_0\over x_n},\dots,{A_k\over x_{n-k}} \right \}(n\geq k),$ when $$A_0<0,\dots,A_k<0$$ solving an open problem of G. Ladas.

### MSC:

 39A11 Stability of difference equations (MSC2000)

### Keywords:

periodic solution; difference equation
Full Text:

### References:

 [1] DOI: 10.1080/10236199608808067 [2] Amleh A.M., Computers and Math. with Appl.
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