{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:58:28Z","timestamp":1760245108080,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2025,10,4]],"date-time":"2025-10-04T00:00:00Z","timestamp":1759536000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100010034","name":"Walailak University","doi-asserted-by":"publisher","award":["WU68221","WU68207"],"award-info":[{"award-number":["WU68221","WU68207"]}],"id":[{"id":"10.13039\/501100010034","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.mdpi.com"],"crossmark-restriction":true},"short-container-title":["Symmetry"],"abstract":"<jats:p>We investigate the Hyers\u2013Ulam\u2013Rassias stability of a generalized quadratic functional equation of the asymmetric four-function form F(x+y)+G(x\u2212y)=L(x)+M(y), where F, G, L, and M are unknown mappings. This study is conducted within the framework of non-Archimedean normed spaces over the p-adic numbers. Our approach employs a separation technique, analyzing the even and odd parts of the functions to establish stability results. We show that all four functions are approximated by a combination of a quadratic function and two additive functions.<\/jats:p>","DOI":"10.3390\/sym17101651","type":"journal-article","created":{"date-parts":[[2025,10,6]],"date-time":"2025-10-06T08:10:51Z","timestamp":1759738251000},"page":"1651","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Hyers\u2013Ulam\u2013Rassias Stability of Generalized Quadratic Functional Equation on Non-Archimedean Normed Space over p-Adic Numbers"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8744-2298","authenticated-orcid":false,"given":"Janyarak","family":"Tongsomporn","sequence":"first","affiliation":[{"name":"Division of Mathematics and Statistics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand"},{"name":"Center of Excellence for Ecoinformatics, Walailak University, Nakhon Si Thammarat 80160, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-2178-9751","authenticated-orcid":false,"given":"Navin","family":"Aksornthong","sequence":"additional","affiliation":[{"name":"Division of Mathematics and Statistics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand"},{"name":"Simbiosen Research Center, Walailak University, Nakhon Si Thammarat 80160, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,10,4]]},"reference":[{"key":"ref_1","unstructured":"Ulam, S.M. 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