{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T08:18:47Z","timestamp":1707293927792},"reference-count":25,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We investigate the existence of positive or a negative solution of several classes of four-point boundary-value problems for fourth-order ordinary differential equations. Although these problems do not always admit a (positive) Green's function, the obtained solution is still of definite sign. Furthermore, we prove the existence of an entire continuum of solutions. Our technique relies on the continuum property (connectedness and compactness) of the solutions funnel (Kneser's Theorem), combined with the corresponding vector field.<\/jats:p>","DOI":"10.1155\/2012\/375634","type":"journal-article","created":{"date-parts":[[2012,9,14]],"date-time":"2012-09-14T14:02:22Z","timestamp":1347631342000},"page":"1-18","source":"Crossref","is-referenced-by-count":2,"title":["Fourth-Order Four-Point Boundary Value Problem: A Solutions Funnel Approach"],"prefix":"10.1155","volume":"2012","author":[{"given":"Panos K.","family":"Palamides","sequence":"first","affiliation":[{"name":"Naval Academy of Greece, 45110 Piraeus, Greece"}]},{"given":"Alex P.","family":"Palamides","sequence":"additional","affiliation":[{"name":"Technological Educational Institute of Piraeus, Department of Electronic Computer Systems, P.Ralli and Thivon 250, 12240 Athens, Greece"}]}],"member":"98","reference":[{"key":"25","year":"1961"},{"key":"24","year":"1993"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/67.3.281"},{"key":"8","volume-title":"Soil Settlement Effects on Buildings","volume":"69","year":"1992"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/376782"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.2307\/2160465"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3353"},{"key":"10","first-page":"179","volume":"109","year":"1987","journal-title":"Lecture Notes in Pure and Applied Mathematics"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(84)90025-1"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1142\/9789814354097"},{"issue":"1","key":"21","first-page":"89","volume":"34","year":"1989","journal-title":"Mathematica Japonica"},{"key":"1","year":"1998"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2001.7756"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00071-9"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1080\/00036819908840751"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.04.049"},{"issue":"45","key":"14","first-page":"1","volume":"2007","year":"2007","journal-title":"Electronic Journal of Differential Equations"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(03)80044-7"},{"issue":"123","key":"11","first-page":"1","volume":"2007","year":"2007","journal-title":"Electronic Journal of Differential Equations"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69409-7"},{"issue":"39","key":"7","first-page":"1","volume":"2006","year":"2006","journal-title":"Electronic Journal of Differential Equations"},{"key":"16","first-page":"1","volume":"15","year":"2009","journal-title":"Electronic Journal of Qualitative Theory of Differential Equations"},{"issue":"47","key":"18","first-page":"1","volume":"2008","year":"2008","journal-title":"Electronic Journal of Differential Equations"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1181069456"},{"key":"6","year":"1965"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/375634.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/375634.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/375634.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T15:22:50Z","timestamp":1470151370000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/375634\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":25,"alternative-id":["375634","375634"],"URL":"https:\/\/doi.org\/10.1155\/2012\/375634","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}