{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T17:03:25Z","timestamp":1761930205318,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,10,24]],"date-time":"2021-10-24T00:00:00Z","timestamp":1635033600000},"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 work, by using the comparison method and Riccati transformation, we obtain some oscillation criteria of solutions of delay differential equations of fourth-order in canonical form. These criteria complement those results in the literature. We give two examples to illustrate the main results. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.<\/jats:p>","DOI":"10.3390\/sym13112015","type":"journal-article","created":{"date-parts":[[2021,10,25]],"date-time":"2021-10-25T21:42:05Z","timestamp":1635198125000},"page":"2015","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7251-9608","authenticated-orcid":false,"given":"Omar","family":"Bazighifan","sequence":"first","affiliation":[{"name":"Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy"}]},{"given":"Maryam","family":"Al-Kandari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kuwait University, P.O. Box 5969, Safat, Khaldiyah City 13060, Kuwait"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4392-0742","authenticated-orcid":false,"given":"Khalil S.","family":"Al-Ghafri","sequence":"additional","affiliation":[{"name":"University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8586-2539","authenticated-orcid":false,"given":"F.","family":"Ghanim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1167-2430","authenticated-orcid":false,"given":"Sameh","family":"Askar","sequence":"additional","affiliation":[{"name":"Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2902-4455","authenticated-orcid":false,"given":"Georgia Irina","family":"Oros","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Hale, J.K. (1977). Theory of Functional Differential Equations, Springer.","DOI":"10.1007\/978-1-4612-9892-2"},{"key":"ref_2","first-page":"787","article-title":"A new approach in the study of oscillatory behavior of even-order neutral delay diferential equations","volume":"225","author":"Agarwal","year":"2013","journal-title":"Appl. Math. Comput."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Agarwal, R., Grace, S., and O\u2019Regan, D. (2000). 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