Consider the neutral delay differential equation urn:x-wiley:01611712:media:ijmm295109:ijmm295109-math-0001 Where P, Q?C([t0, 8], R+), t?(0, 8) and d?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction urn:x-wiley:01611712:media:ijmm295109:ijmm295109-math-0002