{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:46:44Z","timestamp":1753886804006,"version":"3.41.2"},"reference-count":12,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,8,5]],"date-time":"2012-08-05T00:00:00Z","timestamp":1344124800000},"content-version":"vor","delay-in-days":217,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002881","name":"Civil Aviation University of China","doi-asserted-by":"publisher","award":["2012KYM05","ZXH2012\u2009K004"],"award-info":[{"award-number":["2012KYM05","ZXH2012\u2009K004"]}],"id":[{"id":"10.13039\/501100002881","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["2012KYM05","ZXH2012\u2009K004"],"award-info":[{"award-number":["2012KYM05","ZXH2012\u2009K004"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"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>The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two\u2010point boundary value problems for third\u2010order nonlinear differential equation<jats:italic>\u2009\u2009<\/jats:italic><jats:italic>y<\/jats:italic><jats:italic>\u2032\u2032\u2032<\/jats:italic> = <jats:italic>f<\/jats:italic>(<jats:italic>x<\/jats:italic>, <jats:italic>y<\/jats:italic>, <jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>, <jats:italic>y<\/jats:italic><jats:italic>\u2032\u2032<\/jats:italic>), <jats:italic>\u2009\u2009<\/jats:italic><jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>(<jats:italic>b<\/jats:italic>) = <jats:italic>h<\/jats:italic>(<jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>(<jats:italic>a<\/jats:italic>)), <jats:italic>\u2009\u2009<\/jats:italic><jats:italic>p<\/jats:italic>(<jats:italic>y<\/jats:italic>(<jats:italic>a<\/jats:italic>), <jats:italic>y<\/jats:italic>(<jats:italic>b<\/jats:italic>), <jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>(<jats:italic>a<\/jats:italic>), <jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>(<jats:italic>b<\/jats:italic>)) = 0, <jats:italic>\u2009\u2009<\/jats:italic><jats:italic>g<\/jats:italic>(<jats:italic>y<\/jats:italic>(<jats:italic>a<\/jats:italic>), <jats:italic>y<\/jats:italic>(<jats:italic>b<\/jats:italic>), <jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>(<jats:italic>a<\/jats:italic>), <jats:italic>y<\/jats:italic><jats:italic>\u2032<\/jats:italic>(<jats:italic>b<\/jats:italic>), <jats:italic>y<\/jats:italic><jats:italic>\u2032\u2032<\/jats:italic>(<jats:italic>a<\/jats:italic>), <jats:italic>y<\/jats:italic><jats:italic>\u2032\u2032<\/jats:italic>(<jats:italic>b<\/jats:italic>)) = 0. Some new existence results are obtained by developing the upper and lower solution method. Some applications are also presented.<\/jats:p>","DOI":"10.1155\/2012\/262139","type":"journal-article","created":{"date-parts":[[2012,8,5]],"date-time":"2012-08-05T21:00:34Z","timestamp":1344200434000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Existence of Solutions of Nonlinear Mixed Two\u2010Point Boundary Value Problems for Third\u2010Order Nonlinear Differential Equation"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yongxin","family":"Gao","sequence":"first","affiliation":[]},{"given":"Fengqin","family":"Wang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,8,5]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(82)90027-X"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(83)90088-3"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(02)00390-4"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1999.6375"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.09.007"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2001.4056"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1994.1250"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(71)90010-6"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(01)00122-7"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1997.5639"},{"key":"e_1_2_7_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00119755"},{"volume-title":"An Introduction to Nonlinear Boundary Value Problems","year":"1974","author":"Bernfeld S. 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