  It was shown long ago by T. V. Ruzmaikina and A. A. Ruzmaikin that within the
framework of a homogeneous and isotropic cosmological model quadratic
corrections of the gravitational field cannot provide solutions that are both
regular initially and go over to Friedmann type at later times. We find here,
by applying a dynamical systems approach, the general form of the solution to
this class of models in the neighborhood of the initial singularity under the
above conditions.
