Exact Inflationary Models and Consequences
  New exact inflationary solutions are presented in the scalar field theory, minimally coupled to gravity, with a potential term. No use is made of the slow rollover approximation. The scale factors are completely nonsingular and the transition to the deccelerating phase is smooth. Moreover, in one of these models, asymptotically one has transition to the matter dominated Universe. 
A. Kuiroukidis and D. B. Papadopoulos (Thessaloniki)