liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Total positivity and oscillatory kernels: An overview, and applications to the spectral theory of the cubic string
Linköping University, Department of Mathematics, Applied Mathematics.
2010 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In the study of the Degasperis-Procesi dierential equation, an eigenvalue problem called the cubic string occurs. This is a third order generalization of the second order problem describing the eigenmodes of a vibrating string. In this thesis we study the eigenfunctions of the cubic string for discrete and continuous mass distributions, using the theory of total positivity, via a combinatorial approach with planar networks.

Place, publisher, year, edition, pages
2010. , 41 p.
Keyword [en]
cubic string, total positivity, oscillatory kernels, planar networks
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-58005ISRN: LiTH-MAT-EX--2010/18--SEOAI: oai:DiVA.org:liu-58005DiVA: diva2:359963
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2010-11-09 Created: 2010-07-15 Last updated: 2010-11-09Bibliographically approved

Open Access in DiVA

fulltext(473 kB)778 downloads
File information
File name FULLTEXT01.pdfFile size 473 kBChecksum SHA-512
15118c4451b003d6da7609e60121a5889432b882152953eabb063e293b47b7b35b9a865daf1a196a91221281827b2325f7c288e43978a318564e59b1e775d286
Type fulltextMimetype application/pdf

By organisation
Applied Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 778 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 275 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf