  The Langevin dynamics of a system exhibiting a Fluctuation Induced First
Order Phase Transition is solved within the self consistent Hartree
Approximation. Competition between interactions at short and long length scales
gives rise to spatial modulations in the order parameter, like stripes in 2d
and lamellae in 3d. We show that when the time scale of observation is small
compared with the time needed to the formation of modulated structures, the
dynamics is dominated by a standard ferromagnetic contribution plus a
correction term. However, once these structures are formed, the long time
dynamics is no longer pure ferromagnetic. After a quench from a disordered
state to low temperatures the system develops growing domains of stripes
(lamellae). Due to the character of the transition, the paramagnetic phase is
metastable at all finite temperatures, and the correlation length diverges only
at T=0. Consequently, the temperature is a relevant variable, for $T>0$ the
system exhibits interrupted aging while for T=0 the system ages for all time
scales. Furthermore, for all $T$, the exponent associated with the aging
phenomena is independent of the dimension of the system.
