On a singularly perturbed initial value problem in case of a double root of the degenerate equation
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1672 | |
| dc.contributor.author | Butuzov, Valentin F. | |
| dc.contributor.author | Nefedov, Nikolai N. | |
| dc.contributor.author | Recke, Lutz | |
| dc.contributor.author | Schneider, Klaus R. | |
| dc.date.accessioned | 2016-03-24T17:38:48Z | |
| dc.date.available | 2019-06-28T08:07:20Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | We study the initial value problem of a singularly perturbed first order ordinary differential equation in case that the degenerate equation has a double root. We construct the formal asymptotic expansion of the solution such that the boundary layer functions decay exponentially. This requires a modification of the standard procedure. The asymptotic solution will be used to construct lower and upper solutions guaranteeing the existence of a unique solution and justifying its asymptotic expansion. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2780 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2493 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Singularly perturbed first order ordinary differential equation | eng |
| dc.subject.other | initial value problem | eng |
| dc.subject.other | boundary layer | eng |
| dc.subject.other | double root of degenerate equation | eng |
| dc.subject.other | asymptotic expansion | eng |
| dc.title | On a singularly perturbed initial value problem in case of a double root of the degenerate equation | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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