{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T03:21:53Z","timestamp":1765423313863,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,3,19]],"date-time":"2022-03-19T00:00:00Z","timestamp":1647648000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics"],"abstract":"<jats:p>The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research. We propose a new explanation of the fourth-order equation oscillation in terms of the oscillation of a similar well-studied second-order linear differential equation without damping. The extended Riccati transformation, integral averaging approach, and comparison principles are used to provide some additional oscillatory criteria. An example demonstrates the efficacy of the acquired criteria.<\/jats:p>","DOI":"10.3390\/math10060995","type":"journal-article","created":{"date-parts":[[2022,3,20]],"date-time":"2022-03-20T21:34:27Z","timestamp":1647812067000},"page":"995","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":40,"title":["Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2878-5300","authenticated-orcid":false,"given":"Barakah","family":"Almarri","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2959-4212","authenticated-orcid":false,"given":"Ali Hasan","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq"},{"name":"Doctoral School of Mathematical and Computational Sciences, University of Debrecen, H-4002 Debrecen, Hungary"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7359-4370","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"LAETA\/INEGI, Faculty of Engineering, University of Porto, 4099-002 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7251-9608","authenticated-orcid":false,"given":"Omar","family":"Bazighifan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, Yemen"},{"name":"Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Althobati, S., Bazighifan, O., and Yavuz, M. (2021). Some Important Criteria for Oscillation of Non-Linear Differential Equations with Middle Term. Mathematics, 9.","DOI":"10.3390\/math9040346"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Agarwal, R.P., Bazighifan, O., and Ragusa, M.A. (2021). Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions. Entropy, 23.","DOI":"10.3390\/e23020129"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/S0898-1221(99)00193-5","article-title":"The oscillation of higher-order differential equations with deviating arguments","volume":"38","author":"Agarwal","year":"1999","journal-title":"Comput. Math. Appl."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1007\/s11253-007-0021-4","article-title":"Oscillation of certain fourth order functional differential equations","volume":"59","author":"Agarwal","year":"2007","journal-title":"Ukrain. Mat. 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