## On a max-type difference equation.(English)Zbl 1152.39016

The authors study the solutions of
$x_{n+1} = \max\left\{{{1}\over{x_n}},Ax_{n-1}\right\},\quad n\in N_0,\quad A\in \mathbb R;$
the initial conditions $$x_{-1}$$ and $$x_0$$ are non-zero real numbers. The cases $$A<0$$ and $$A>0$$ are discussed separately. Each case has several sub-cases according to the possible sign combinations for the initial conditions. Additional conditions on $$A$$ are considered.

### MSC:

 39A20 Multiplicative and other generalized difference equations

### Keywords:

max-type difference equation; solution construction
Full Text:

### References:

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