Nodal solutions of weighted indefinite problems
dc.contributor.author | Fencl, Martin | |
dc.contributor.author | López-Gómez, Julián | |
dc.date.accessioned | 2022-01-31T11:00:24Z | |
dc.date.available | 2022-01-31T11:00:24Z | |
dc.date.issued | 2021 | |
dc.description.abstract-translated | This 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.format | 21 s. | cs |
dc.format.mimetype | application/pdf | |
dc.identifier.citation | FENCL, M. LÓPEZ-GÓMEZ, J. Nodal solutions of weighted indefinite problems. JOURNAL OF EVOLUTION EQUATIONS, 2021, roč. 21, č. 3, s. 2815-2835. ISSN: 1424-3199 | cs |
dc.identifier.document-number | 575770600002 | |
dc.identifier.doi | 10.1007/s00028-020-00625-7 | |
dc.identifier.issn | 1424-3199 | |
dc.identifier.obd | 43930408 | |
dc.identifier.uri | 2-s2.0-85092086230 | |
dc.identifier.uri | http://hdl.handle.net/11025/46652 | |
dc.language.iso | en | en |
dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
dc.project.ID | GA18-03253S/Diferenciální rovnice se speciálními typy nelinearit | cs |
dc.project.ID | SGS-2019-010/Kvalitativní a kvantitativní studium matematických modelů IV. | cs |
dc.publisher | Birkhauser | en |
dc.relation.ispartofseries | Journal Of Evolution Equations | en |
dc.rights | © Springer | en |
dc.rights.access | openAccess | en |
dc.subject.translated | Bifurcation | en |
dc.subject.translated | Concavity | en |
dc.subject.translated | Eigencurves | en |
dc.subject.translated | Finite-difference scheme | en |
dc.subject.translated | Global components | en |
dc.subject.translated | Nodal solutions | en |
dc.subject.translated | Path-following | en |
dc.subject.translated | Positive solutions | en |
dc.subject.translated | Pseudo-spectral methods | en |
dc.subject.translated | Superlinear indefinite problems | en |
dc.subject.translated | Weighted problems | en |
dc.title | Nodal solutions of weighted indefinite problems | en |
dc.type | preprint | cs |
dc.type | preprint | en |
dc.type.version | draft | en |