Parameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing term

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dc.contributor.authorŠremr, Jiřícs
dc.coverage.issue65cs
dc.coverage.volume2023cs
dc.date.accessioned2023-11-04T03:56:59Z
dc.date.available2023-11-04T03:56:59Z
dc.date.issued2023-10-05cs
dc.description.abstractWe study the existence, exact multiplicity, and structure of the set of positive solutions to the periodic problem u" = p(t)u + h(t)|u|(lambda) sgn u + mu f (t); u(0) = u(omega), u0(0) = u'(omega), where mu is an element of R is a parameter. We assume that p, h, f is an element of L([0, omega]), lambda > 1, and the function h is non-negative. The results obtained extend the results known in the existing literature. We do not require that the Green's function of the corresponding linear problem be positive and we allow the forcing term f to change its sign.en
dc.formattextcs
dc.format.extent1-23cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationElectronic Journal of Differential Equations. 2023, vol. 2023, issue 65, p. 1-23.en
dc.identifier.doi10.58997/ejde.2023.65cs
dc.identifier.issn1072-6691cs
dc.identifier.orcid0000-0002-3983-4219cs
dc.identifier.other185053cs
dc.identifier.researcheridD-5450-2014cs
dc.identifier.scopus10046597900cs
dc.identifier.urihttp://hdl.handle.net/11012/214437
dc.language.isoencs
dc.publisherTexas State Universitycs
dc.relation.ispartofElectronic Journal of Differential Equationscs
dc.relation.urihttps://ejde.math.txstate.edu/Volumes/2023/65/abstr.htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1072-6691/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectPeriodic solutionen
dc.subjectsecond-order differential equationen
dc.subjectexistenceen
dc.subjectDuffing equationen
dc.subjectmultiplicityen
dc.subjectbifurcationen
dc.subjectpositive solutionen
dc.titleParameter-dependent periodic problems for non-autonomous Duffing equations with sign-changing forcing termen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-185053en
sync.item.dbtypeVAVen
sync.item.insts2023.11.04 04:56:59en
sync.item.modts2023.11.04 04:16:04en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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