A precise asymptotic description of half-linear differential equations

Simple item page
dc.contributor.authorŘehák, Pavelcs
dc.coverage.issue4cs
dc.coverage.volume297cs
dc.date.accessioned2024-05-16T14:46:57Z
dc.date.available2024-05-16T14:46:57Z
dc.date.issued2024-04-08cs
dc.description.abstractWe study asymptotic behavior of solutions of nonoscillatory second-order half-linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed. For all of these solutions, we establish precise asymptotic formulas, where positive as well as negative potential is considered. We examine, as consequences, also equations with regularly varying coefficients, or with the coefficients viewed as perturbations of exponentials, or the equations under certain critical (double roots) settings. We make also asymptotic analysis of Poincare-Perron solutions. Many of our results are new even in the linear case.en
dc.formattextcs
dc.format.extent1275-1309cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMathematische Nachrichten. 2024, vol. 297, issue 4, p. 1275-1309.en
dc.identifier.doi10.1002/mana.202200302cs
dc.identifier.issn0025-584Xcs
dc.identifier.orcid0000-0002-2452-2204cs
dc.identifier.other186969cs
dc.identifier.researcheridN-3315-2019cs
dc.identifier.urihttps://hdl.handle.net/11012/245540
dc.language.isoencs
dc.publisherWILEY-V C H VERLAG GMBHcs
dc.relation.ispartofMathematische Nachrichtencs
dc.relation.urihttps://onlinelibrary.wiley.com/doi/10.1002/mana.202200302cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0025-584X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectasymptotic formulaen
dc.subjecthalf-linear differential equationen
dc.subjectnonoscillatory solutionen
dc.subjectPoincare-Perron solutionen
dc.subjectregular variationen
dc.titleA precise asymptotic description of half-linear differential equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-186969en
sync.item.dbtypeVAVen
sync.item.insts2024.05.16 16:46:57en
sync.item.modts2024.05.16 16:13:33en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Mathematische Nachrichten 2023 Rehak A precise asymptotic description of halflinear differential equations.pdf
Size:
488.83 KB
Format:
Adobe Portable Document Format
Description:
file Mathematische Nachrichten 2023 Rehak A precise asymptotic description of halflinear differential equations.pdf
Download
Collections
Ústav matematiky