Publication
Solutions of second-order and fourth-order ODEs on the half-line
| dc.contributor.author | EnguiƧa, Ricardo Roque | |
| dc.contributor.author | Gavioli, Andrea | |
| dc.contributor.author | Sanchez, Luis | |
| dc.date.accessioned | 2011-11-28T13:33:23Z | |
| dc.date.available | 2011-11-28T13:33:23Z | |
| dc.date.issued | 2010-11-01 | |
| dc.description.abstract | We start by studying the existence of positive solutions for the differential equation u '' = a(x)u - g(u), with u ''(0) = u(+infinity) = 0, where a is a positive function, and g is a power or a bounded function. In other words, we are concerned with even positive homoclinics of the differential equation. The main motivation is to check that some well-known results concerning the existence of homoclinics for the autonomous case (where a is constant) are also true for the non-autonomous equation. This also motivates us to study the analogous fourth-order boundary value problem {u((4)) - cu '' + a(x)u = vertical bar u vertical bar(p-1)u u'(0) = u'''(0) = 0, u(+infinity) = u'(+infinity) = 0 for which we also find nontrivial (and, in some instances, positive) solutions. | por |
| dc.identifier.citation | EnguiƧa R, Gavioli A, Sanchez L. Solutions of second-order and fourth-order ODEs on the half-line.Nonlinear Analysis-Theory Methods & Applications. 2010; 73 (9): 2968-2979. | por |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/676 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Pergamon-Elsevier Science LTD | por |
| dc.relation.ispartofseries | 9 | |
| dc.subject | Second order | por |
| dc.subject | Fourth order | por |
| dc.subject | Non-autonomous equation | por |
| dc.subject | Variational methods | por |
| dc.subject | Unbounded intervals | por |
| dc.subject | Positive solution | por |
| dc.title | Solutions of second-order and fourth-order ODEs on the half-line | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Oxford | por |
| oaire.citation.endPage | 2979 | por |
| oaire.citation.issue | 73 | por |
| oaire.citation.startPage | 2968 | por |
| oaire.citation.title | Nonlinear Analysis-Theory Methods & Applications | por |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
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