  We analyze an asymptotically exact solution for the transition temperature of
p-wave superconductivity near ferromagnetic criticality on the basis of the
three-dimensional electron systems in which scattering processes are dominated
by exchange interactions with small momentum transfers. Taking into account all
Feynman diagrams in the gap equation, we show that vertex corrections neglected
in the conventional Eliashberg's formalism enhance the dynamical retarded
effect of the pairing interaction, and raise the superconducting transition
temperature significantly, though they just give subleading corrections to
properties of the normal state.
