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Some new sufficient conditions for the oscillation of the neutral equation d/dt[y(t)-R(t)y(t-r)] P(t)y(t-τ)-Q(t)y(t-σ)=0,whereP, Q, R∈ C([t0, ∞), R+) and r, τ, σ∈(0,∞), are obtained for the case where former results can not be applied in this paper.