  In the present letter we find that Starobinsky's inflationary solution is
also valid in the Dvali-Gabadadze-Porrati (DGP) model where a 3-brane is
embedded in 5-dimensional Minkowski bulk. We show that such a solution is
typically not supported by the Self-Accelerated branch of the model, giving
therefore a natural selection of the conventional branch of solutions. In the
absence of brane induced Einstein-Hilbert term the SA branch is always selected
out. We then study the linearized modes around all such de Sitter brane
solutions finding perturbative stability for a range of parameters of the brane
QFT.
