  We canonically quantize the dynamics of the brane universe embedded into the
five-dimensional Schwarzschild-anti-deSitter bulk space-time. We show that in
the brane-world settings the formulation of the quantum cosmology, including
the problem of initial conditions, is conceptually more simple than in the
3+1-dimensional case. The Wheeler-deWitt equation is a finite-difference
equation. It is exactly solvable in the case of a flat universe and we find the
ground state of the system. The closed brane universe can be created as a
result of decay of the bulk black hole.
