We demonstrate that there exists an inflationary solution on the positive
tension brane in the Randall-Sundrum scenario. Inflation is driven by a
slow-rolling scalar field on the brane and is achieved within the perturbative
limit of the radion field. We find that inflation on the positive tension brane
results in a slight increase in the separation between the two branes. However,
we show that the slow-roll inflation is not possible on the negative tension
brane.Comment: 5 pages, Latex. A footnote added, new references adde