  We present background concepts of the nuclear density functional theory (DFT)
and applications of the time-dependent DFT with the Skyrme energy functional
for nuclear response functions. Practical methods for numerical applications of
the time-dependent Hartree-Fock-Bogoliubov theory (TDHFB) are proposed; finite
amplitude method and canonical-basis TDHFB. These approaches are briefly
reviewed and some numerical applications are shown to demonstrate their
feasibility.
