Abstract

In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form $$(r_2(t)(r_1(t)(y''(t))^\alpha)')' + p(t)(y''(t))^\alpha + q(t)f(y(g(t))) = 0$$ provided that the second-order equation $$(r_2(t)z'(t))') + \frac{p(t)}{r_1(t)}z(t) = 0$$ is nonoscillatory or oscillatory.

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