Abstract

In this paper, some oscillation theorems of differential equation of the even order are established ( ) ( ( ) ( ) ( ( ))) ( ) ( ( ( ))) 0 n y s P s y s Q s F y s τ σ + + = , 0 t t ≥ , here 2 n ≥ is even, 0 0 ( ) P s P ≤ ≤ < ∞. The theorems extend and supplement some results in the literature. An example is investigated to illustrate our results. Keywords-neutral functional differential equations; oscillation; even order.

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