  The evolutionarity conditions for the MHD shock waves are considered within
the framework of the 8-moment approximation for collisionless plasma with heat
fluxes. In the general case, evolutionarity diagrams are obtained depending on
the relative magnitude of the Alfven wave velocity in front of or behind the
shock wave front. The evolutionarity conditions for parallel shock waves are
analyzed using previously obtained solutions for parallel MHD shock waves in
collisionless plasma with heat fluxes. On the plane of dimensionless parameters
characterizing plasma velocity and heat flux in front of the shock wave, the
regions of evolutionarity are determined for the fast and slow shock waves
propagating along the magnetic field.
