{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T03:06:00Z","timestamp":1777431960608,"version":"3.51.4"},"reference-count":7,"publisher":"Wiley","issue":"11","license":[{"start":{"date-parts":[[2008,10,10]],"date-time":"2008-10-10T00:00:00Z","timestamp":1223596800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematische Nachrichten"],"published-print":{"date-parts":[[2008,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We prove, by variational arguments, the existence of a solution to the boundary value problem in the half line<\/jats:p><jats:p><jats:disp-formula>\n\n<jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" position=\"anchor\" xlink:href=\"urn:x-wiley:0025584X:media:MANA200510696:nzmn1069601\"><jats:alt-text>equation image<\/jats:alt-text><\/jats:graphic>\n<\/jats:disp-formula><\/jats:p><jats:p>where <jats:italic>c<\/jats:italic> \u2265 0 and <jats:italic>a<\/jats:italic> belongs to a certain class of positive functions. The existence of such a solution in the case <jats:italic>c<\/jats:italic> = 0 means that the system (0.1) behaves in significantly different way from its autonomous counterpart. (\u00a9 2008 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/mana.200510696","type":"journal-article","created":{"date-parts":[[2008,10,11]],"date-time":"2008-10-11T07:02:55Z","timestamp":1223708575000},"page":"1557-1565","source":"Crossref","is-referenced-by-count":3,"title":["On a class of bounded trajectories for some non\u2010autonomous systems"],"prefix":"10.1002","volume":"281","author":[{"given":"A.","family":"Gavioli","sequence":"first","affiliation":[]},{"given":"L.","family":"Sanchez","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2008,10,10]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","unstructured":"R. P.Agarwal andD.O'Regan Infinite Interval Problems for Differential Difference and Integral Equations (Kluwer Ac. Publ. Dordrecht 2001).","DOI":"10.1007\/978-94-010-0718-4"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"D.Bonheure andL.Sanchez Heteroclinic orbits for some classes of second and fourth order differential equations in: Handbook of Differential Equations III edited by A. Ca\u00f1ada P. Drabek and A. Fonda (Elsevier 2006) pp. 103\u2013202.","DOI":"10.1016\/S1874-5725(06)80006-4"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-002-0172-y"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.12775\/TMNA.2001.001","article-title":"Heteroclinic solutions between stationary points at different energy levels","volume":"17","author":"Coti Zelati V.","year":"2001","journal-title":"Topol. Methods Nonlinear Anal."},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/1522-2616(200207)242:1<148::AID-MANA148>3.0.CO;2-J"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2004.08.032"},{"issue":"5","key":"e_1_2_1_8_2","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/s0294-1449(16)30314-6","article-title":"Periodic and heteroclinic orbits for a periodic hamiltonian system","volume":"6","author":"Rabinowitz P. H.","year":"1989","journal-title":"Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire"}],"container-title":["Mathematische Nachrichten"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmana.200510696","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/mana.200510696","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,31]],"date-time":"2023-10-31T09:13:31Z","timestamp":1698743611000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/mana.200510696"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,10,10]]},"references-count":7,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2008,11]]}},"alternative-id":["10.1002\/mana.200510696"],"URL":"https:\/\/doi.org\/10.1002\/mana.200510696","archive":["Portico"],"relation":{},"ISSN":["0025-584X","1522-2616"],"issn-type":[{"value":"0025-584X","type":"print"},{"value":"1522-2616","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,10,10]]}}}