Examining the oscillatory behavior of fourth-order neutral di¤erential equations

In this paper, we establish several criteria for examining the oscillatory properties of solutions to a class offourth-order neutral di¤erential equations. Using the principle of comparison, we obtain su¢ cient conditions for oscillationbased on some new monotonic properties. Furthermore, the Euler di¤erential equation yields a sharp result when usingsome of the new criteria. To assess the e¢ cacy of the new criteria, we compare them with previous studies to highlight thedi¤erencesIn this paper, we establish several criteria for examining the oscillatory properties of solutions to a class offourth-order neutral di¤erential equations. Using the principle of comparison, we obtain su¢ cient conditions for oscillationbased on some new monotonic properties. Furthermore, the Euler di¤erential equation yields a sharp result when usingsome of the new criteria. To assess the e¢ cacy of the new criteria, we compare them with previous studies to highlight thedi¤erences