NEW OSCILLATION CRITERIA FOR CERTAIN EVEN ORDER DELAY DIFFERENTIAL EQUATIONS

For even order delay differential equation of the form [p(t)|x (n−1)(t)| α−1x (n−1)(t)]′ + F(t, x(g(t)) = 0, n even where p ∈ C 1 ([t0, ∞); (0, ∞)), F ∈ C([t0, ∞) × R; R), g ∈ C([t0, ∞); R), and α > 0 is a constant, we obtain several new oscillation criteria without assumptions that has been required for the related results obtained before, our results generalize and improve many known conclusions.