Philos-type oscillation criteria for Emden–Fowler neutral delay differential equations

Philos-type oscillation criteria are established for the Emden–Fowler neutral delay differential equation [ | x ′ ( t ) | γ - 1 x ′ ( t ) ] ′ + q 1 ( t ) | y ( t - σ ) | α - 1 y ( t - σ ) + q 2 ( t ) | y ( t - σ ) | β - 1 y ( t - σ ) = 0 , t ⩾ t 0 , where x ( t ) = y ( t ) + p ( t ) y ( t - τ ) . The results obtained here essentially improve some known results in the literature. In particular, two interesting examples that point out the importance of our results are also included.