{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:33:02Z","timestamp":1760059982924,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,25]],"date-time":"2025-07-25T00:00:00Z","timestamp":1753401600000},"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>This paper explores the oscillatory behavior of a class of second-order hybrid-type neutral delay difference equations. A novel approach is introduced to transform these complex trinomial equations into a simpler binomial form by utilizing solutions from an associated linear difference equation. By employing comparison techniques and summation-averaging methods, we establish new oscillation criteria which guarantee that all solutions exhibit oscillatory behavior. Our findings extend to an existing oscillation theory and are applicable even to non-neutral second-order equations. A couple of examples are presented to highlight the impact and novelty of the obtained results.<\/jats:p>","DOI":"10.3390\/axioms14080571","type":"journal-article","created":{"date-parts":[[2025,7,25]],"date-time":"2025-07-25T08:13:31Z","timestamp":1753431211000},"page":"571","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Oscillation Criteria for Hybrid Second-Order Neutral Delay Difference Equations with Mixed Coefficients"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8709-5588","authenticated-orcid":false,"given":"Ganesh","family":"Purushothaman","sequence":"first","affiliation":[{"name":"Department of Mathematics, St. Joseph\u2019s College of Engineering, Chennai 600119, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2258-7685","authenticated-orcid":false,"given":"Subbarayan","family":"Poornavel","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Saveetha School of Engineering, Chennai 602105, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0477-1895","authenticated-orcid":false,"given":"George E.","family":"Chatzarakis","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education, Marousi, 15122 Athens, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6801-4191","authenticated-orcid":false,"given":"Ethiraju","family":"Thandapani","sequence":"additional","affiliation":[{"name":"Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Agarwal, R.P. 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