Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments

Abstract

This paper presents novel criteria for investigating the oscillatory behavior of even-order neutral differential equations. By employing a comparative approach, we established the oscillation properties of the studied equation through comparisons with well-understood first-order equations with known oscillatory behavior. The findings of this study introduce fresh perspectives and enrich the existing body of oscillation criteria found in the literature. To illustrate the practical application of our results, we provide an illustrative example.

Keywords

• even-order
• oscillatory behavior
• neutral differential equations
• distributed deviating arguments