Qaraad, B.Moaaz, O.Baleanu, D.Santra, S.S.Ali, R.Elabbasy, E.M.Matematik2024-05-142024-05-142022Qaraad, B....et.al. (2022). "Third-order neutral differential equations of the mixed type: Oscillatory and asymptotic behavior", Mathematical Biosciences and Engineering, Vol.19, No.2, pp.1649-1658.1547-1063https://doi.org/10.3934/mbe.2022077In this work, by using both the comparison technique with first-order differential inequalities and the Riccati transformation, we extend this development to a class of third-order neutral differential equations of the mixed type. We present new criteria for oscillation of all solutions, which improve and extend some existing ones in the literature. In addition, we provide an example to illustrate our results. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)eninfo:eu-repo/semantics/openAccessDelayMixed-Neutral TermOscillation CriteriaThrid-Order Differential EquationsArticle1921649165810.3934/mbe.20220772-s2.0-8512178240835135222Q2Q2