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Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on a nonlinear alternative principle of Leray\u2010Schauder. Recent results in the literature are generalized and significantly improved.<\/jats:p>","DOI":"10.1155\/2012\/528719","type":"journal-article","created":{"date-parts":[[2012,6,6]],"date-time":"2012-06-06T21:01:16Z","timestamp":1339016476000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition"],"prefix":"10.1155","volume":"2012","author":[{"given":"Shengjun","family":"Li","sequence":"first","affiliation":[]},{"given":"Li","family":"Liang","sequence":"additional","affiliation":[]},{"given":"Zonghu","family":"Xiu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,6,6]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1515\/ans-2010-0410"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/bdm040"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700038764"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.2307\/2046279"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2000.3995"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210505000739"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1002\/mma.413"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1515\/ans-2006-0104"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500030080"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.12775\/TMNA.2003.041"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-07-09226-X"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2006.08.006"},{"key":"e_1_2_5_13_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2006.15.747"},{"key":"e_1_2_5_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0396(02)00152-3"},{"key":"e_1_2_5_15_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2004.11.693"},{"key":"e_1_2_5_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2007.05.007"},{"key":"e_1_2_5_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.05.016"},{"key":"e_1_2_5_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.10.031"},{"key":"e_1_2_5_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00438-6"},{"key":"e_1_2_5_20_2","series-title":"Mathematics and its Applications","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1517-1","volume-title":"Existence Theory for Nonlinear Ordinary Differential Equations","author":"O\u2032Regan D.","year":"1997"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/528719.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/528719.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/528719","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:20:35Z","timestamp":1718090435000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/528719"}},"subtitle":[],"editor":[{"given":"Yeong-Cheng","family":"Liou","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/528719"],"URL":"https:\/\/doi.org\/10.1155\/2012\/528719","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":"2012-02-22","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-23","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-06-06","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"528719"}}