{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:48:23Z","timestamp":1760233703685,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,2,14]],"date-time":"2021-02-14T00:00:00Z","timestamp":1613260800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we establish new sufficient conditions for the oscillation of solutions of a class of second-order delay differential equations with a mixed neutral term, which are under the non-canonical condition. The results obtained complement and simplify some known results in the relevant literature. Example illustrating the results is included.<\/jats:p>","DOI":"10.3390\/sym13020318","type":"journal-article","created":{"date-parts":[[2021,2,14]],"date-time":"2021-02-14T10:01:05Z","timestamp":1613296865000},"page":"318","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Second-Order Non-Canonical Neutral Differential Equations with Mixed Type: Oscillatory Behavior"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3850-1022","authenticated-orcid":false,"given":"Osama","family":"Moaaz","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}]},{"given":"Amany","family":"Nabih","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5908-4913","authenticated-orcid":false,"given":"Hammad","family":"Alotaibi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0365-0282","authenticated-orcid":false,"given":"Y. S.","family":"Hamed","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2021,2,14]]},"reference":[{"key":"ref_1","first-page":"339","article-title":"Partial neutral functional differential equations","volume":"39","author":"Hale","year":"1994","journal-title":"Rev. Roum. Math. Pures Appl."},{"key":"ref_2","unstructured":"MacDonald, N. (1989). Biological Delay Systems: Linear Stability Theory, Cambridge University Press."},{"key":"ref_3","first-page":"267","article-title":"Oscillation of second order neutral delay differential equations","volume":"1","author":"Grammatikopouls","year":"1985","journal-title":"Rad. 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