We consider two possible approaches to the problem of the quantization
of systems with actions unbounded from below: the Borel summation met
hod applied to the perturbation expansion in the coupling constant and
the method based on the kerneled Langevin equation for stochastic qua
ntization. In the simplest case of an anharmonic oscillator, the first
method produces Schwinger functions, even though the corresponding pa
th integral diverges. The solutions of the kerneled Langevin equation
are studied both analytically and numerically. The fictitious time ave
rages are shown to have limits that can be considered as the Schwinger
functions. The examples demonstrate that both methods may give the sa
me result.