  We consider a long-run impulse control problem for a generic Markov process
with a multiplicative reward functional. We construct a solution to the
associated Bellman equation and provide a verification result. The argument is
based on the probabilistic properties of the underlying process combined with
the Krein-Rutman theorem applied to the specific non-linear operator. Also, it
utilises the approximation of the problem in the bounded domain and with the
help of the dyadic time-grid.
