Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/19874
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| Title: | Existence of Homoclinic Solutions for Nonlinear Second-Order Problems |
| Authors: | Minhós, Feliz
Carrasco, Hugo |
| Keywords: | Homoclinic solutions
problems in the real line |
| Issue Date: | Dec-2016 |
| Publisher: | Springer |
| 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 |
| 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. |
| URI: | http://link.springer.com/article/10.1007/s00009-016-0718-4?wt_mc=internal.event.1.SEM.ArticleAuthorOnlineFirst
http://hdl.handle.net/10174/19874 |
| ISSN: | 1660-5446 (print version) 1660-5454 (electronic version) |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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