{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:52:14Z","timestamp":1777449134521,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T00:00:00Z","timestamp":1404172800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2014,7]]},"abstract":"<jats:p>In this paper we re-visit the Lagerstrom problem<\/jats:p>\n                  <jats:p>y\" + (n-1)\/r\u2009y' + \u03b5yy' = 0,<\/jats:p>\n                  <jats:p>y(1) = 0,\u2003y(\u221e) = 1,<\/jats:p>\n                  <jats:p>where \u03b5 is a small positive real number and n is a positive integer (or any real number greater than 2). Using rigorous analysis, a generalized asymptotic expansion, as \u03b5\u21920, is derived for the solution of this problem. A trans-series expansion of the solution for large values of r is also presented; the leading term coefficient is determined by a connection formula between the values of the solution at the two points r=1 and r=\u221e. An extension and a discussion of the problem for n\u2208[1,2) is also given.<\/jats:p>","DOI":"10.3233\/asy-131212","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:33:02Z","timestamp":1575055982000},"page":"111-123","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A novel generalized solution expansion for the Lagerstrom model"],"prefix":"10.1177","volume":"88","author":[{"given":"Chunhua","family":"Ou","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Memorial University, St. John's, Canada. E-mail: ou@mun.ca"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Wong","sequence":"additional","affiliation":[{"name":"Liu Bie Ju Centre for Mathematical Sciences, City University of Hong Kong, Hong Kong, China. E-mail: mawong@cityu.edu.hk"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,7,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131212","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131212","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:08Z","timestamp":1777380008000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-131212"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,7]]}},"alternative-id":["10.3233\/ASY-131212"],"URL":"https:\/\/doi.org\/10.3233\/asy-131212","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7]]}}}