{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T13:33:31Z","timestamp":1769693611473,"version":"3.49.0"},"reference-count":14,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,9,30]],"date-time":"2021-09-30T00:00:00Z","timestamp":1632960000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The aim of this work is to present new oscillation results for a class of second-order delay differential equations with damping term. The new criterion of oscillation depends on improving the asymptotic properties of the positive solutions of the studied equation by using an iterative technique. Our results extend some of the results recently published in the literature.<\/jats:p>","DOI":"10.3390\/axioms10040246","type":"journal-article","created":{"date-parts":[[2021,9,30]],"date-time":"2021-09-30T10:22:42Z","timestamp":1632997362000},"page":"246","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Criteria for the Oscillation of Solutions to Linear Second-Order Delay Differential Equation with a Damping Term"],"prefix":"10.3390","volume":"10","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"},{"name":"Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy"}]},{"given":"Elmetwally M. E.","family":"Elabbasy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0387-921X","authenticated-orcid":false,"given":"Jan","family":"Awrejcewicz","sequence":"additional","affiliation":[{"name":"Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1\/15 Stefanowski St., 90-924 Lodz, Poland"}]},{"given":"Aml","family":"Abdelnaser","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"}]}],"member":"1968","published-online":{"date-parts":[[2021,9,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Agarwal, R.P., Grace, S.R., and O\u2019Regan, D. (2000). Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic.","DOI":"10.1007\/978-94-015-9401-1"},{"key":"ref_2","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_3","doi-asserted-by":"crossref","unstructured":"Kocic, V.L., and Ladas, G. (1993). Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers.","DOI":"10.1007\/978-94-017-1703-8"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"910","DOI":"10.1002\/mana.201800196","article-title":"Oscillation criteria for second-order Emden\u2014Fowler delay differential equations with a sublinear neutral term","volume":"293","author":"Dzurina","year":"2020","journal-title":"Math. Nachr."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Moaaz, O., Anis, M., Baleanu, D., and Muhib, A. (2020). More effective criteria for oscillation of second-order differential equations with neutral arguments. Mathematics, 8.","DOI":"10.3390\/math8060986"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Moaaz, O., Baleanu, D., and Muhib, A. (2020). New aspects for non-existence of kneser solutions of neutral differential equations with odd-order. Mathematics, 8.","DOI":"10.3390\/math8040494"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Moaaz, O., Furuichi, S., and Muhib, A. (2020). New comparison theorems for the nth order neutral differential equations with delay inequalities. Mathematics, 8.","DOI":"10.3390\/math8030454"},{"key":"ref_8","first-page":"307","article-title":"Oscillation theorem for second-order nonlinear functional differential equation with damping","volume":"12","author":"Saker","year":"2003","journal-title":"Dyn. Syst. Appl."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1002\/mana.19891410114","article-title":"Oscillation theorems for second order nonlinear differential equations with damping","volume":"141","author":"Grace","year":"1989","journal-title":"Math. Nachr."},{"key":"ref_10","first-page":"220","article-title":"On the oscillatory and asymptotic behavior of damping functional differential equations","volume":"36","author":"Grace","year":"1991","journal-title":"Math. Jpn."},{"key":"ref_11","first-page":"143","article-title":"Oscillation of nonlinear differential equations of second order","volume":"40","author":"Grace","year":"1992","journal-title":"Publ. Math."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s00605-020-01469-6","article-title":"Oscillation of damped second-order linear mixed neutral differential equations","volume":"194","author":"Graef","year":"2021","journal-title":"Monatshefte Math."},{"key":"ref_13","unstructured":"Ladde, G.S., Lakshmikantham, V., and Zhang, B.G. (1987). Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Baculikova, B. (2019). Oscillatory behavior of the second order noncanonical differential equa tions. Electron. J. Qual. Theory Differ. Equ.","DOI":"10.1186\/s13662-019-2322-y"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/10\/4\/246\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:07:39Z","timestamp":1760166459000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/10\/4\/246"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9,30]]},"references-count":14,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2021,12]]}},"alternative-id":["axioms10040246"],"URL":"https:\/\/doi.org\/10.3390\/axioms10040246","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9,30]]}}}