Oscillation of second order neutral equations with distributed deviating argument

Oscillation criteria are established for the second order neutral delay differential equation with distributed deviating argument ( r ( t ) ψ ( x ( t ) ) Z ′ ( t ) ) ′ + ∫ a b q ( t , ξ ) f [ x ( g ( t , ξ ) ) ] d σ ( ξ ) = 0 , t ⩾ t 0 , where Z ( t ) = x ( t ) + p ( t ) x ( t - τ ) . These results are extensions of the integral averaging techniques due to Coles and Kamenev, and improve some known oscillation criteria in the existing literature.