Property (A) and Oscillation of Higher-Order Trinomial Differential Equations with Retarded and Advanced Arguments.

In this paper, a new effective technique for the investigation of the higher-order trinomial differential equations y (n) (t) + p (t) y (τ (t)) + q (t) y (σ (t)) = 0 is established. We offer new criteria for so-called property (A) and oscillation of the considered equation. Examples are provided to illustrate the importance of our results. [ABSTRACT FROM AUTHOR]