  We investigate the phase structure of homogeneous and inhomogeneous
neutron-proton condensate in isospin asymmetric nuclear matter. At extremely
low nuclear density the condensed matter is in homogeneous phase at any
temperature, while in general case it is in Larkin-Ovchinnikov-Fulde -Ferrell
phase at low temperature. In comparison with the homogeneous superfluid, the
inhomogeneous superfluid can survive at higher nuclear density and higher
isospin asymmetry.
