{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T18:31:32Z","timestamp":1773081092279,"version":"3.50.1"},"reference-count":14,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3850,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics Letters"],"published-print":{"date-parts":[[2003,1]]},"DOI":"10.1016\/s0893-9659(02)00147-7","type":"journal-article","created":{"date-parts":[[2002,12,30]],"date-time":"2002-12-30T13:18:07Z","timestamp":1041254287000},"page":"79-84","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":29,"title":["The nonexistence of spurious solutions to discrete, two-point boundary value problems"],"prefix":"10.1016","volume":"16","author":[{"given":"H.B.","family":"Thompson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.C.","family":"Tisdell","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0893-9659(02)00147-7_BIB1","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1137\/0711035","article-title":"Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations","volume":"11","author":"Gaines","year":"1974","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB2","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/0022-0396(72)90034-4","article-title":"A priori bounds and upper and lower solutions for nonlinear second-order boundary-value problems","volume":"12","author":"Gaines","year":"1972","journal-title":"J. Differential Equations"},{"key":"10.1016\/S0893-9659(02)00147-7_BIB3","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1080\/00036817308839062","article-title":"A priori bounds for solutions to nonlinear two-point boundary value problems","volume":"3","author":"Gaines","year":"1973","journal-title":"Appl. Anal."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB4","unstructured":"J. Henderson and H.B. Thompson, Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations, J. Differ. Equations Appl. (to appear)."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB5","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1006\/jmaa.2000.6823","article-title":"Systems of difference equations associated with boundary value problems for second order systems of ordinary differential rquations","volume":"248","author":"Thompson","year":"2000","journal-title":"J. Math. Anal. Appl."},{"issue":"6","key":"10.1016\/S0893-9659(02)00147-7_BIB6","doi-asserted-by":"crossref","first-page":"761","DOI":"10.1016\/S0893-9659(02)00039-3","article-title":"Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations","volume":"15","author":"Thompson","year":"2002","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB8","doi-asserted-by":"crossref","first-page":"1328","DOI":"10.1137\/0115116","article-title":"The approximation of fixed points of a continuous mapping","volume":"15","author":"Scarf","year":"1967","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB7","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1090\/S0002-9947-1960-0124553-5","article-title":"On boundary value problems for systems of ordinary, nonlinear, second order differential equations","volume":"96","author":"Hartman","year":"1960","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB9","doi-asserted-by":"crossref","first-page":"362","DOI":"10.2307\/2372250","article-title":"On linear repulsive forces","volume":"71","author":"Wintner","year":"1949","journal-title":"Amer. J. Math."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB10","author":"Lloyd","year":"1978"},{"key":"10.1016\/S0893-9659(02)00147-7_BIB11","author":"Kelley","year":"1991"},{"key":"10.1016\/S0893-9659(02)00147-7_BIB12","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1016\/0022-247X(83)90058-6","article-title":"On multipoint boundary value problems for discrete equations","volume":"96","author":"Agarwal","year":"1983","journal-title":"J. Math. Anal. Appl."},{"key":"10.1016\/S0893-9659(02)00147-7_BIB13","author":"Agarwal","year":"1992"},{"key":"10.1016\/S0893-9659(02)00147-7_BIB14","doi-asserted-by":"crossref","first-page":"183","DOI":"10.4064\/ap-20-2-183-190","article-title":"A discrete boundary value problem","volume":"20","author":"Lasota","year":"1968","journal-title":"Ann. Polon. Math."}],"container-title":["Applied Mathematics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965902001477?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965902001477?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:07:34Z","timestamp":1760238454000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0893965902001477"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["S0893965902001477"],"URL":"https:\/\/doi.org\/10.1016\/s0893-9659(02)00147-7","relation":{},"ISSN":["0893-9659"],"issn-type":[{"value":"0893-9659","type":"print"}],"subject":[],"published":{"date-parts":[[2003,1]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The nonexistence of spurious solutions to discrete, two-point boundary value problems","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0893-9659(02)00147-7","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2002 Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}]}}