  We derive two classes of brane-world solutions arising in the presence of a
bulk scalar field. For static field configurations, we adopt a time-dependent,
factorizable metric ansatz that allows for radion stabilization. The solutions
are characterized by a non-trivial warping along the extra dimension, even in
the case of a vanishing bulk cosmological constant, and lead to a variety of
inflationary, time-dependent solutions of the 3D scale factor on the brane. We
also derive the constraints necessary for the stability of these solutions
under time-dependent perturbations of the radion field, and we demonstrate the
existence of phenomenologically interesting, stable solutions with a positive
cosmological constant on the brane.

High Energy Physics - Phenomenology;Astrophysics;High Energy Physics - Theory