A simplified oscillation criterion for second-order neutral differential equations in the nonlinear case

This work investigates the oscillatory behavior of neutral differential equations in the compulsory nonlinear case. We consider the noncanonical situation and establish a multi-condition criterion that is an extension of previous non-neutral results. We then present a new simplified single-condition criterion that guarantees the oscillation of all solutions. Some examples are used to illustrate the effectiveness of the new criterion.