Existence of Homoclinic Solutions for Nonlinear Second-Order Problems
| dc.contributor.author | Minhós, Feliz | |
| dc.contributor.author | Carrasco, Hugo | |
| dc.date.accessioned | 2017-01-19T15:09:14Z | |
| dc.date.available | 2017-01-19T15:09:14Z | |
| dc.date.issued | 2016-12 | |
| dc.description.abstract | In this work, we consider the second-order discontinuous equation in the real line, u′′(t)−ku(t)=f(t,u(t),u′(t)),a.e.t∈R, with k>0 and f:R3→R an L1 -Carathéodory function. The existence of homoclinic solutions in presence of not necessarily ordered lower and upper solutions is proved, without periodicity assumptions or asymptotic conditions. Some applications to Duffing-like equations are presented in last section. | por |
| dc.identifier.authoremail | fminhos@uevora.pt | |
| dc.identifier.authoremail | hugcarrasco@gmail.com | |
| dc.identifier.citation | Minhós, F. & Carrasco, H. "Existence of Homoclinic Solutions for Nonlinear Second-Order Problems".- Mediterranien Journal of Mathematics, December 2016, Vol 13, issue 6, pp 3849-3861 | por |
| dc.identifier.doi | 10.1007/s00009-016-0718-4 | por |
| dc.identifier.issn | 1660-5446 (print version) 1660-5454 (electronic version) | |
| dc.identifier.scientificarea | 334 | por |
| dc.identifier.sharewith | MAT | por |
| dc.identifier.uri | http://link.springer.com/article/10.1007/s00009-016-0718-4?wt_mc=internal.event.1.SEM.ArticleAuthorOnlineFirst | |
| dc.identifier.uri | http://hdl.handle.net/10174/19874 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer | por |
| dc.rights | restrictedAccess | por |
| dc.subject | Homoclinic solutions | por |
| dc.subject | problems in the real line | por |
| dc.title | Existence of Homoclinic Solutions for Nonlinear Second-Order Problems | por |
| dc.type | article | por |
| degois.publication.title | Mediterranien Journal of Mathematics | por |