{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:04:19Z","timestamp":1760148259532,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,14]],"date-time":"2023-04-14T00:00:00Z","timestamp":1681430400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"NSF of China","doi-asserted-by":"publisher","award":["12271299"],"award-info":[{"award-number":["12271299"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The present paper is concerned with the uniform boundedness of the normalized eigenfunctions of Sturm\u2013Liouville problems and shows that the sequence of eigenvalues is uniformly local Lipschitz continuous with respect to the weighted functions.<\/jats:p>","DOI":"10.3390\/sym15040911","type":"journal-article","created":{"date-parts":[[2023,4,14]],"date-time":"2023-04-14T02:28:12Z","timestamp":1681439292000},"page":"911","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Uniform Lipschitz Continuity of Eigenvalues of Sturm\u2013Liouville Problems with Respect to the Weighted Function"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8242-0786","authenticated-orcid":false,"given":"Jing","family":"Xu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1542-3917","authenticated-orcid":false,"given":"Zhiwen","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0716-8351","authenticated-orcid":false,"given":"Jiangang","family":"Qi","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shandong University, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/jdeq.1996.0154","article-title":"Eigenvalues of regular Sturm-Liouville problems","volume":"131","author":"Kong","year":"1996","journal-title":"J. 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