Abstract

New oscillatory properties for the oscillation of unbounded solutions to a class of third-order neutral differential equations with several deviating arguments are established. Several oscillation results are established by using generalized Riccati transformation and a integral average technique under the case of unbounded neutral coefficients. Examples are given to prove the significance of new theorems.

Highlights

  • We investigate the oscillation properties of solutions to the third-order neutral differential equations with several deviating arguments

  • There have been numerous articles investigating the oscillation of the solutions of third/higher order neutral differential equations with/without deviating arguments; see [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]

  • The results presented in this paper can be extended to more general third-order unbounded neutral differential equations with several deviating arguments in order to achieve more generalized oscillation results

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Summary

Introduction

We investigate the oscillation properties of solutions to the third-order neutral differential equations with several deviating arguments The main results of this paper are obtained considering the following conditions: R∞ There have been numerous articles investigating the oscillation of the solutions of third/higher order neutral differential equations with/without deviating arguments; see [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16].

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