A class of second-order forced neutral delay differential equation with mixed nonlinearities (r(t)|x′(t)+px′(t- σ)|α-1(x′(t)+px′(t-σ))) ′+q0(t)|x(τ0(t))|α-1x(τ0(t) )+∑i=1nqi(t)|x(τi(t))|βi-1x( τi(t))=e(t)sgn(x(t)) is investigated in this paper. Using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some known oscillation criteria have been extended...