{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:11:38Z","timestamp":1760955098211},"reference-count":14,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2009,1,20]],"date-time":"2009-01-20T00:00:00Z","timestamp":1232409600000},"content-version":"unspecified","delay-in-days":3033,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Edinburgh Mathematical Society"],"published-print":{"date-parts":[[2000,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove that for <jats:italic>F<\/jats:italic>: [0,\u221e) \u00d7 \u211d<jats:sup><jats:italic>n<\/jats:italic><\/jats:sup> \u2192 <jats:italic>K<\/jats:italic> (\u211d<jats:sup><jats:italic>n<\/jats:italic><\/jats:sup>) a Lipschitzian multifunction with compact values, the set of derivatives of solutions of the Cauchy problem<\/jats:p><jats:p><jats:disp-formula><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" mimetype=\"image\" position=\"float\" xlink:type=\"simple\" xlink:href=\"S0013091500021143_eqnU1\" \/><\/jats:disp-formula><\/jats:p><jats:p>is a retract of <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" mimetype=\"image\" xlink:type=\"simple\" xlink:href=\"S0013091500021143_inline1\" \/><\/jats:p>","DOI":"10.1017\/s0013091500021143","type":"journal-article","created":{"date-parts":[[2008,12,19]],"date-time":"2008-12-19T10:07:40Z","timestamp":1229681260000},"page":"475-484","source":"Crossref","is-referenced-by-count":5,"title":["On the solution sets to differential inclusions on an unbounded interval"],"prefix":"10.1017","volume":"43","author":[{"given":"Vasile","family":"Staicu","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2009,1,20]]},"reference":[{"key":"S0013091500021143_ref013","unstructured":"13. Staicu V. , Arcwise connectedness of solution sets to differential inclusions, technical report CM\/I 41 (Aveiro University, 1998)"},{"key":"S0013091500021143_ref014","doi-asserted-by":"publisher","DOI":"10.1070\/SM1983v046n01ABEH002742"},{"key":"S0013091500021143_ref002","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1991-1045587-8"},{"key":"S0013091500021143_ref008","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(86)90347-1"},{"key":"S0013091500021143_ref012","first-page":"283","article-title":"Une propriet\u00e9 topologique de l'ensemble des points fixes d'une contraction multivoque \u00e0 valeurs convexes","volume":"81","author":"Ricceri","year":"1987","journal-title":"Rend. Accad. Naz. Lincei"},{"key":"S0013091500021143_ref001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69512-4"},{"key":"S0013091500021143_ref004","doi-asserted-by":"publisher","DOI":"10.4064\/ap-60-2-101-117"},{"key":"S0013091500021143_ref003","doi-asserted-by":"publisher","DOI":"10.4064\/sm-102-3-209-216"},{"key":"S0013091500021143_ref005","first-page":"321","article-title":"Continuous selections of solution sets of lipschitzian differential inclusions","volume":"34","author":"Colombo","year":"1991","journal-title":"Funkcial. Ekvac."},{"key":"S0013091500021143_ref006","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1996.0105"},{"key":"S0013091500021143_ref007","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(94)E0043-G"},{"key":"S0013091500021143_ref009","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(77)90037-9"},{"key":"S0013091500021143_ref010","first-page":"665","article-title":"Differential inclusions depending on a parameter","volume":"37","author":"Naselli Ricceri","year":"1989","journal-title":"Bull. Pol. Acad. Sci."},{"key":"S0013091500021143_ref011","doi-asserted-by":"publisher","DOI":"10.1080\/00036818808839741"}],"container-title":["Proceedings of the Edinburgh Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0013091500021143","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,8]],"date-time":"2019-05-08T16:16:27Z","timestamp":1557332187000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0013091500021143\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,10]]},"references-count":14,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2000,10]]}},"alternative-id":["S0013091500021143"],"URL":"https:\/\/doi.org\/10.1017\/s0013091500021143","relation":{},"ISSN":["0013-0915","1464-3839"],"issn-type":[{"value":"0013-0915","type":"print"},{"value":"1464-3839","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,10]]}}}