Abstract: In this work, we investigate the oscillation of the neutral Emden-Fowler differential equation
(r(t)|z'(t)|^α-1z'(t))'+p(t)|z'(t)|^α-1z'(t)+q(t)|x(σ(t))|^β-1x(σ(t))=0,
where z(t)=x(t)+g(t)x(τ(t)). By using the generalized Riccati transformation and integral averaging technique, we establish some new oscillation criteria. These results extend and improve some existing results in the literature.

Key words: Emden-Fowler equation, Neutral differential equation, Oscillation