  A multidimensional cosmological model describing the dynamics of n+1
  Ricci-flat factor-spaces M_i in the presence of a one-component anisotropic
fluid is considered. The pressures in all spaces are proportional to the
density: p_i = w_i \rho, i = 0,...,n. Solutions with accelerated expansion of
our 3-space M_0 and small enough variation of the gravitational constant G are
found. These solutions exist for two branches of the parameter w_0. The first
branch describes superstiff matter with w_0 > 1, the second one may contain
phantom matter with w_0 < - 1, e.g., when G grows with time.
