  The Hartree-Fock-Bogoliubov (HFB) equations in coordinate representation are
solved exactly, i.e., with correct asymptotic boundary conditions for the
continuous spectrum. The calculations are preformed with effective Skyrme
interactions. The exact HFB solutions are compared with HFB calculations based
on box boundary conditions and with resonant continuum Hartree-Fock-BCS
(HF-BCS) results. The comparison is done for the neutron-rich Ni isotopes. It
is shown that close to the drip line the amount of pairing correlations depends
on how the continuum coupling is treated. On the other hand, the resonant
continuum HF-BCS results are generally close to those of HFB even in
neutron-rich nuclei.
