In this paper, we are concerned with the oscillation of third order nonlinear delay differential equations of the formBy using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. In particular, several examples are given to illustrate the importance of our results.

a b s t r a c tIn this work, we are concerned with oscillation of third-order nonlinear functional differential equations of the formBy using a Riccati type transformation and integral averaging technique, we establish some new sufficient conditions under which every solution y(t) either oscillates or converges to zero as t → ∞.Unlike ones from the known works in the literature, our results are applicable to nonlinear functional differential equations of the above form when f (u) = |u| α−1 u, α > 0.

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