We study the effect of the unique shell structure as well as the very
low particle threshold on collective modes in drip-line nuclei, first
performing the Hartree-Fock (HF) calculation with Skyrme interactions
and, then, using the random phase approximation solved in the coordina
te space with the Green's function method, We examine also one-particl
e resonant states in the HF potential. The properties of both isoscala
r and isovector monopole giant resonance (GR) are found to change dras
tically in nuclei around the neutron drip line. The characteristic fea
ture of the isovector dipole:modes as well as the isoscalar quadrupole
modes in drip-line nuclei is also studied.