  We report on explicit cosmological solutions within the framework of an
inflating de Sitter brane embedded in five- and ten-dimensional bulk
spacetimes. In the specific example we study the brane tension is induced by
the curvature related to the expansion of a physical 3+1 spacetime rather than
by a bulk cosmological term. In a generic situation with nonzero brane tension,
the expansion of the universe accelerates eventually. We also show that
inflationary cosmology is possible for a wide class of metrics without
violating four- and higher-dimensional null energy condition.
