  In order to study the pairing symmetry in non-centrosymmetric
superconductors, we solve the linearized Eliashberg's equation on the
two-dimensional extended Hubbard model in the presence of the Rashba-type
spin-orbit coupling (RSOC) within the random phase approximation. In the
presence of the RSOC, three types of pairing symmetries appear in the phase
diagram with respect to the on-site Coulomb repulsion U and off-site one V.
Each of pairing symmetries is admixture of spin-singlet and -triplet ones. On
the basis of analytical study, it is found that the admixture of spin-singlet
and -triplet components depends on not only the predominant pairing symmetry
but also dispersion relation and pairing interaction.
