  We study the Langevin dynamics of the soft-spin, continuum version of the
Coulomb frustrated Ising ferromagnet. By using the dynamical mode-coupling
approximation, supplemented by reasonable approximations for describing the
equilibrium static correlation function, and the somewhat improved dynamical
self-consistent screening approximation, we find that the system displays a
transition from an ergodic to a non-ergodic behavior. This transition is
similar to that obtained in the idealized mode-coupling theory of glassforming
liquids and in the mean-field generalized spin glasses with one-step replica
symmetry breaking. The significance of this result and the relation to the
appearance of a complex free-energy landscape are also discussed.
