  In this paper, we use Malliavin calculus to show the existence and continuity
of density functions of $d$-dimensional non-colliding particle systems such as
hyperbolic particle systems and Dyson Brownian motion with smooth drift. For
this purpose, we apply results proved by Florit and Nualart (1995) and Naganuma
(2013) on locally non-degenerate Wiener functionals.
