{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:20Z","timestamp":1740134540936,"version":"3.37.3"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/MAT\/04674\/2013"],"award-info":[{"award-number":["UID\/MAT\/04674\/2013"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Abstract and Applied Analysis"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green\u2019s functions, and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.<\/jats:p>","DOI":"10.1155\/2016\/8987374","type":"journal-article","created":{"date-parts":[[2016,2,7]],"date-time":"2016-02-07T16:00:49Z","timestamp":1454860849000},"page":"1-7","source":"Crossref","is-referenced-by-count":3,"title":["Unbounded Solutions for Functional Problems on the Half-Line"],"prefix":"10.1155","volume":"2016","author":[{"given":"Hugo","family":"Carrasco","sequence":"first","affiliation":[{"name":"Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es (CIMA), Universidade de \u00c9vora, Rua Rom\u00e3o Ramalho 59, 7000-671 \u00c9vora, Portugal"}]},{"given":"Feliz","family":"Minh\u00f3s","sequence":"additional","affiliation":[{"name":"Centro de Investiga\u00e7\u00e3o em Matem\u00e1tica e Aplica\u00e7\u00f5es (CIMA), Universidade de \u00c9vora, Rua Rom\u00e3o Ramalho 59, 7000-671 \u00c9vora, Portugal"},{"name":"Departamento de Matem\u00e1tica, Escola de Ci\u00eancias e Tecnologia, Universidade de \u00c9vora, 7000-671 \u00c9vora, Portugal"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-010-0718-4"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.12.007"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.10.044"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.08.011"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.07.024"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.03.049"},{"journal-title":"Discrete and Continuous Dynamical Systems","first-page":"564","year":"2009","key":"13"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2008.07.009"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.11.010"},{"issue":"19","key":"19","first-page":"1","volume":"2014","year":"2014","journal-title":"Electronic Journal of Differential Equations"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.04.002"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.06.011"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.2298\/aadm110221010g"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.01.092"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-008-9218-2"},{"year":"1986","key":"20"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1137\/1017036"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2008.03.014"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1994.1052"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.12.048"}],"container-title":["Abstract and Applied Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aaa\/2016\/8987374.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aaa\/2016\/8987374.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aaa\/2016\/8987374.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T21:15:27Z","timestamp":1471554927000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/aaa\/2016\/8987374\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":20,"alternative-id":["8987374","8987374"],"URL":"https:\/\/doi.org\/10.1155\/2016\/8987374","relation":{},"ISSN":["1085-3375","1687-0409"],"issn-type":[{"type":"print","value":"1085-3375"},{"type":"electronic","value":"1687-0409"}],"subject":[],"published":{"date-parts":[[2016]]}}}