{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T14:53:07Z","timestamp":1746802387669,"version":"3.40.5"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"King Mongkut\u2019s University of Technology North Bangkok, Thailand"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinearq<\/mml:mi><\/mml:mrow><\/mml:math>-difference equations with three-pointq<\/mml:mi><\/mml:mrow><\/mml:math>-integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. By using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.<\/jats:p>","DOI":"10.1155\/2013\/605169","type":"journal-article","created":{"date-parts":[[2013,3,31]],"date-time":"2013-03-31T17:01:13Z","timestamp":1364749273000},"page":"1-9","source":"Crossref","is-referenced-by-count":2,"title":["Sequential Derivatives of Nonlinearq<\/mml:mi><\/mml:mrow><\/mml:math>-Difference Equations with Three-Pointq<\/mml:mi><\/mml:mrow><\/mml:math>-Integral Boundary Conditions"],"prefix":"10.1155","volume":"2013","author":[{"given":"Nittaya","family":"Pongarm","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"}]},{"given":"Suphawat","family":"Asawasamrit","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"}]},{"given":"Jessada","family":"Tariboon","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.2307\/2370183"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.2307\/2369887"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.2307\/2370216"},{"key":"4","first-page":"195","volume":"30","year":"1929","journal-title":"American Mathematical Series II"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02547785"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00739095"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1063\/1.531800"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(93)90289-C"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/BF00761122"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(95)00253-7"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02100180"},{"key":"13","series-title":"Encyclopedia of Mathematics and Its Applications","first-page":"xx+287","volume":"35","year":"1990"},{"issue":"1","key":"14","first-page":"63","volume":"23","year":"1999","journal-title":"Annales des Sciences Math\u00e9matiques du Qu\u00e9bec"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0071-7"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2003.09.004"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.06.009"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/s11139-006-0259-8"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.02.044"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.09.061"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-09-10185-5"},{"key":"22","first-page":"1","volume":"94","year":"2011","journal-title":"Electronic Journal of Differential Equations"},{"volume":"2012, article 35","journal-title":"Advances in Difference Equations","year":"2012","key":"23"},{"issue":"3","key":"24","first-page":"59","volume":"19","year":"2012","journal-title":"Communications on Applied Nonlinear Analysis"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1847-2012-81"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/292860"},{"issue":"1","key":"27","first-page":"123","volume":"10","year":"1955","journal-title":"Uspekhi Matematicheskikh Nauk"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/605169.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/605169.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/605169.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T13:50:07Z","timestamp":1469886607000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/605169\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":26,"alternative-id":["605169","605169"],"URL":"https:\/\/doi.org\/10.1155\/2013\/605169","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}