  We reexamine the theoretical instability domain of pulsating DB white dwarfs
(DBV or V777 Her variables). We performed an extensive $g$-mode nonadiabatic
pulsation analysis of DB evolutionary models considering a wide range of
stellar masses, for which the complete evolutionary stages of their progenitors
from the ZAMS, through the thermally pulsing AGB and born-again phases, the
domain of the PG1159 stars, the hot phase of DO white dwarfs, and then the DB
white dwarf stage have been considered. We explicitly account for the evolution
of the chemical abundance distribution due to time-dependent chemical diffusion
processes. We examine the impact of the different prescriptions of the MLT
theory of convection and the effects of small amounts of H in the almost
He-pure atmospheres of DB stars on the precise location of the theoretical blue
edge of the DBV instability strip.
