{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:25:01Z","timestamp":1760239501136,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T00:00:00Z","timestamp":1606176000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["No. ZR2019MA034"],"award-info":[{"award-number":["No. ZR2019MA034"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 11671227"],"award-info":[{"award-number":["No. 11671227"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we focus on the second-order neutral differential equations with deviating arguments which are under the canonical condition. New oscillation criteria are established, which are based on a first-order delay differential equation and generalized Riccati transformations. The idea of symmetry is a useful tool, not only guiding us in the right way to study this function but also simplifies our proof. Our results are generalizations of some previous results and we provide an example to illustrate the main results.<\/jats:p>","DOI":"10.3390\/sym12121937","type":"journal-article","created":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T22:22:38Z","timestamp":1606256558000},"page":"1937","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["New Oscillation Results for Second-Order Neutral Differential Equations with Deviating Arguments"],"prefix":"10.3390","volume":"12","author":[{"given":"Yakun","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fanwei","family":"Meng","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Caraballo, T., Pinelas, S., Graef, J.R., and Kloeden, P. (2017). Differential and Difference Equations with Applications, Springer.","DOI":"10.1007\/978-3-319-75647-9"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Bazighifan, O. (2020). An approach for studying asymptotic properties of solutions of neutral differential equations. Symmetry, 12.","DOI":"10.3390\/sym12040555"},{"key":"ref_3","first-page":"311","article-title":"Properties of the solutions of certain functional-differential equations","volume":"22","author":"Fite","year":"1921","journal-title":"Trans. Am. Math. Soc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1016\/j.amc.2008.09.021","article-title":"Oscillation criteria for second-order neutral equations with distributed deviating argument","volume":"206","author":"Zhao","year":"2008","journal-title":"Appl. Math. Comput."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1016\/j.amc.2018.10.091","article-title":"New oscillation criteria for second-order half-linear advanced differential equations","volume":"347","author":"Chatzarakis","year":"2019","journal-title":"Appl. Math. Comput."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"106600","DOI":"10.1016\/j.aml.2020.106600","article-title":"Oscillation criteria for third-order nonlinear neutral differential equations with distributed deviating arguments","volume":"111","author":"Sun","year":"2021","journal-title":"Appl. Math. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1186\/1687-2770-2014-56","article-title":"Oscillation of fourth-order neutral differential equations with p-Laplacian like operators","volume":"1","author":"Li","year":"2014","journal-title":"Bound. Value Probl."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1007\/s12190-020-01331-w","article-title":"Oscillation criteria for a class of even-order neutral delay differential equations","volume":"63","author":"Moaaz","year":"2020","journal-title":"J. Appl. Math. Comput."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"125289","DOI":"10.1016\/j.amc.2020.125289","article-title":"Kneser-type oscillation criteria for second-order half-linear delay differential equations","volume":"380","year":"2020","journal-title":"Appl. Math. Comput."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.aml.2017.04.024","article-title":"Oscillatory behavior of the second order noncanonical differential equations","volume":"73","year":"2017","journal-title":"Appl. Math. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1514","DOI":"10.1016\/j.aml.2012.01.007","article-title":"Oscillation criteria for third-order neutral differential equations with continuously distributed delay","volume":"25","author":"Zhang","year":"2012","journal-title":"Appl. Math. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.aml.2017.09.009","article-title":"New oscillation criteria for third-order neutral differential equations with continuously distributed delay","volume":"77","author":"Gao","year":"2018","journal-title":"Appl. Math. Lett."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1364","DOI":"10.1016\/j.amc.2006.11.004","article-title":"New Kamenev-type oscillation criteria for second order neutral nonlinear differential equations","volume":"188","author":"Xu","year":"2007","journal-title":"Appl. Math. Comput."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1007\/s11766-001-0017-z","article-title":"Oscillation criteria for second order nonlinear differential equations of neutral type","volume":"16","author":"Gai","year":"2001","journal-title":"Appl. Math. Ser. B"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1402","DOI":"10.1016\/j.amc.2007.02.017","article-title":"Kamenev-type oscillation criteria for even order neutral differential equations with deviating arguments","volume":"190","author":"Meng","year":"2007","journal-title":"Appl. Math. Comput."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1016\/j.amc.2008.10.051","article-title":"Oscillation criteria for second order quasilinear neutral delay differential equations","volume":"207","author":"Ye","year":"2009","journal-title":"Appl. Math. Comput."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1186\/s13660-019-2003-0","article-title":"Oscillation of higher-order differential equations with distributed delay","volume":"2019","author":"Bazighifan","year":"2019","journal-title":"J. Inequal. Appl."},{"key":"ref_18","unstructured":"Moaaz, O., Park, C., Elabbasy, M.E., and Waed, M. New oscillation criteria for second-order neutral differential equations with distributed deviating arguments. Bound. Value Probl., in press."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1186\/s13662-019-2418-4","article-title":"New criteria for oscillation of nonlinear neutral differential equations","volume":"2019","author":"Moaaz","year":"2019","journal-title":"Adv. Differ. Equ."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1016\/j.amc.2007.01.040","article-title":"Oscillation criteria for certain even order quasi-linear neutral differential equations with deviating arguments","volume":"190","author":"Meng","year":"2007","journal-title":"Appl. Math. Comput."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1007\/BF01223686","article-title":"On the existence of nonoscillatory solutions tending to zero at \u221e for differential equations with positive delay","volume":"36","author":"Philos","year":"1981","journal-title":"Arch. Math."},{"key":"ref_22","unstructured":"Ladde, G.S., Zhang, B.G., and Lakshmikantham, V. (1987). Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker Inc."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/12\/1937\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:36:50Z","timestamp":1760179010000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/12\/1937"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,24]]},"references-count":22,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2020,12]]}},"alternative-id":["sym12121937"],"URL":"https:\/\/doi.org\/10.3390\/sym12121937","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,11,24]]}}}