Stable super-inflating cosmological solutions in f(R)-gravity
  We consider super-inflating solutions in modified gravity for several popular families of $f(R)$ functions. Using scalar field reformulation of $f(R)$-gravity we describe how the form of effective scalar field potential can be used for explaining existence of stable super-inflation solutions in the theory under consideration. Several new solutions of this type have been found analytically and checked numerically. 
Mikhail M. Ivanov and Alexey V. Toporensky
gr-qc