# Article

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Keywords:
differential equation; oscillation; second order; delay; neutral type; integral averaging method
Summary:
We establish some new oscillation criteria for the second order neutral delay differential equation $$[r(t)|[x(t)+p(t)x[\tau (t)]]'|^{\alpha -1} [x(t)+ p(t)x[\tau (t)]]']' +\,q(t)f(x[\sigma (t)])=0.$$ The obtained results supplement those of Dzurina and Stavroulakis, Sun and Meng, Xu and Meng, Baculíková and Lacková. We also make a slight improvement of one assumption in the paper of Xu and Meng.
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