Abstract

In this work, we address an interesting problem in studying the oscillatory behavior of solutions of fourth-order neutral delay differential equations with a non-canonical operator. We obtained new criteria that improve upon previous results in the literature, concerning more than one aspect. Some examples are presented to illustrate the importance of the new results.

Highlights

  • We direct our attention during this work to studying the oscillatory behavior of the solutions of the neutral delay differential equation (NDDE): Effective Results for Testing

  • A new criterion was established to determine the non-existence of the so-called Kneser solutions of a class of even-order NDDEs

  • All authors have read and agreed to the published version of the manuscript

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Summary

Introduction

We direct our attention during this work to studying the oscillatory behavior of the solutions of the neutral delay differential equation (NDDE): Effective Results for Testing. In the non-canonical case, that is, when: Received: 12 March 2021 A0 ( t0 ) : =

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