  The existence of solutions to a one-dimensional problem arising in
magneto-viscoelasticity is here considered. Specifically, a non-linear system
of integro-differential equations is analyzed, it is obtained coupling an
integro-differential equation modeling the viscoelastic behaviour, in which the
kernel represents the relaxation function, with the non-linear partial
differential equations modeling the presence of a magnetic field. The case
under investigation generalizes a previous study since the relaxation function
is allowed to be unbounded at the origin, provided it belongs to $L^1$; the
magnetic model equation adopted, as in the previous results [21,22, 24, 25] is
the penalized Ginzburg-Landau magnetic evolution equation.
