Even-Order Neutral Delay Differential Equations with Noncanonical Operator: New Oscillation Criteria

Abstract

The main objective of our paper is to investigate the oscillatory properties of solutions of differential equations of neutral type and in the noncanonical case. We follow an approach that simplifies and extends the related previous results. Our results are an extension and reflection of developments in the study of second-order equations. We also derive criteria for improving conditions that exclude the decreasing positive solutions of the considered equation.

Keywords

• differential equations of neutral type
• non-canonical case
• even-order
• oscillation