We introduce a novel approach for the investigation of spin-wave excitation
s in itinerant ferromagnets. Our theory is based on a variational treatment
of general multi-band Hubbard models which describe elements and compounds
of transition metals. The magnon dispersion is derived approximately as th
e energy of a variational spin-wave state in the limit of large spatial dim
ensions. A numerical evaluation of our results is feasible for general mult
i-band models. As a first application we consider a model with two degenera
te orbitals per lattice site. From our results we can conclude that spin-wa
ve excitations in strong itinerant ferromagnets are very similar to those i
n ferromagnetic spin systems.