  We derive formulae for the calculation of Taylor coefficients of solutions to
systems of Volterra integral equations, both linear and nonlinear, either
without singularities or with singularities of Abel type and logarithmic type.
We also obtain solutions to certain systems of Volterra equations of the first
kind. In all cases except the case of logarithmic singularities, we obtain
recursive formulae for the calculation of the Taylor coefficients. In certain
cases, we give proofs of convergence and rigorous estimates of the radius of
convergence.
