{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:40:16Z","timestamp":1753886416299,"version":"3.41.2"},"reference-count":6,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,7]],"date-time":"2012-05-07T00:00:00Z","timestamp":1336348800000},"content-version":"vor","delay-in-days":127,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This study is originally motivated by the thermal balance equations for the gas and solid interphase heat\u2010transfer for the fast\u2010igniting catalytic converter of automobiles. Instead of solving this problem directly, we proved some results concerning the existence and uniqueness for abstract semilinear initial value problem by means of (<jats:italic>C<\/jats:italic><jats:sub>0<\/jats:sub>, 1)\u2010semigroup theories on locally convex topological space. The most enjoyable here is that these results not only can be applied to solve the interphase heat\u2010transfer for the fast\u2010igniting catalytic converter of automobile under the situation of preheating at the entry edge of converter, but also can be applied to some other practical problems.<\/jats:p>","DOI":"10.1155\/2012\/968760","type":"journal-article","created":{"date-parts":[[2012,5,8]],"date-time":"2012-05-08T03:39:29Z","timestamp":1336448369000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Some Applications of (<i>C<\/i><sub>0<\/sub>, 1)\u2010Semigroups"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yu-Hsien","family":"Chang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheng-hong","family":"Hong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,5,7]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1002\/aic.690410808"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2007.01.002"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.11.006"},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1974-0383142-8"},{"key":"e_1_2_6_5_2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9409-9","volume-title":"Topological Vector Spaces I","author":"Kothe G.","year":"1979"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/mma.498"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/968760.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/968760.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/968760","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:19:46Z","timestamp":1718090386000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/968760"}},"subtitle":[],"editor":[{"given":"Md. Sazzad","family":"Chowdhury","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/968760"],"URL":"https:\/\/doi.org\/10.1155\/2012\/968760","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2011-11-04","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-02-13","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-05-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"968760"}}