De Sitter and Power-law Solutions in Non-local Gauss-Bonnet Gravity
  The cosmological dynamics of a non-locally corrected gravity theory,
involving a power of the inverse d'Alembertian, is investigated. Casting the
dynamical equations into local form, the fixed points of the models are
derived, as well as corresponding de Sitter and power-law solutions. Necessary
and sufficient conditions on the model parameters for the existence of de
Sitter solutions are obtained. The possible existence of power-law solutions is
investigated, and it is proven that models with de Sitter solutions have no
power-law solutions. A model is found, which allows to describe the
matter-dominated phase of the Universe evolution.
