Oscillation in First Order Neutral Differential Equations with "Integrally Small" Coefficients

Consider the neutral differential equation with positive and negative coefficients ddt[x(t) − R(t)x(t − r)] + P(t)x(t − τ) − Q(t)x(t − δ) = 0, where P, Q, R ∈ C[(t0, ∞), R+], r ∈ (0, ∞), and τ, δ ∈ R+. We obtain some new sufficient conditions for the oscillation of solutions of the above equation without the restriction ∫∞t0 [P(s) − Q(s − τ + δ)] ds = ∞.