Asymptotic properties of multitype critical branching processes evolving in a random environment

For an extended class of multitype critical branching processes in a random environment, the asymptotic behaviour of the survival probability is found under the conditions which are weaker than those known earlier even for the single-type case. A functional limit theorem is proved for the number of particles in the process at moments $nt$, $0\leq t\leq1$, conditioned on its survival up to moment $n$.