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dc.contributor.authorFencl, Martin
dc.contributor.authorLópez-Gómez, Julián
dc.date.accessioned2022-01-31T11:00:24Z-
dc.date.available2022-01-31T11:00:24Z-
dc.date.issued2021
dc.identifier.citationFENCL, M. LÓPEZ-GÓMEZ, J. Nodal solutions of weighted indefinite problems. JOURNAL OF EVOLUTION EQUATIONS, 2021, roč. 21, č. 3, s. 2815-2835. ISSN: 1424-3199cs
dc.identifier.issn1424-3199
dc.identifier.uri2-s2.0-85092086230
dc.identifier.urihttp://hdl.handle.net/11025/46652
dc.format21 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherBirkhauseren
dc.relation.ispartofseriesJournal Of Evolution Equationsen
dc.rights© Springeren
dc.titleNodal solutions of weighted indefinite problemsen
dc.typepreprintcs
dc.typepreprinten
dc.rights.accessopenAccessen
dc.type.versiondraften
dc.description.abstract-translatedThis paper analyzes the structure of the set of nodal solutions, i.e., solutions changing sign, of a class of one-dimensional superlinear indefinite boundary value problems with indefinite weight functions in front of the spectral parameter. Quite surprisingly, the associated high-order eigenvalues may not be concave as is the case for the lowest one. As a consequence, in many circumstances, the nodal solutions can bifurcate from three or even four bifurcation points from the trivial solution. This paper combines analytical and numerical tools. The analysis carried out is a paradigm of how mathematical analysis aids the numerical study of a problem, whereas simultaneously the numerical study confirms and illuminates the analysis.en
dc.subject.translatedBifurcationen
dc.subject.translatedConcavityen
dc.subject.translatedEigencurvesen
dc.subject.translatedFinite-difference schemeen
dc.subject.translatedGlobal componentsen
dc.subject.translatedNodal solutionsen
dc.subject.translatedPath-followingen
dc.subject.translatedPositive solutionsen
dc.subject.translatedPseudo-spectral methodsen
dc.subject.translatedSuperlinear indefinite problemsen
dc.subject.translatedWeighted problemsen
dc.identifier.doi10.1007/s00028-020-00625-7
dc.identifier.document-number575770600002
dc.identifier.obd43930408
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.project.IDGA18-03253S/Diferenciální rovnice se speciálními typy nelinearitcs
dc.project.IDSGS-2019-010/Kvalitativní a kvantitativní studium matematických modelů IV.cs
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