  We calculate the primordial black hole (PBH) mass spectrum produced from a
collapse of the primordial density fluctuations in the early Universe using, as
an input, several theoretical models giving the curvature perturbation power
spectra with large (~ 0.01 - 0.1) values at some scale of comoving wave numbers
k. In the calculation we take into account the explicit dependence of
gravitational (Bardeen) potential on time. Using the PBH mass spectra, we
further calculate the neutrino and photon energy spectra in extragalactic space
from evaporation of light PBHs, and the energy density fraction contained in
PBHs today (for heavier PBHs). We obtain the constraints on the model
parameters using available experimental data (including data on neutrino and
photon cosmic backgrounds). We briefly discuss the possibility that the
observed 511 keV line from the Galactic center is produced by annihilation of
positrons evaporated by PBHs.
