Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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
Linearization of fourth order ordinary differential equations by point transformations
Responsible organisation
2008 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 23, no 41, 206-235 p.Article in journal (Refereed) Published
Abstract [en]

A general methodology for linearization of fourth order ordinary differential equations is developed using point transformations. The solution of the problem on linearization of fourth-order equations by means of point transformations is presented here. We show that all fourth-order equations that are linearizable by point transformations are contained in the class of equations which is linear in the third-order derivative. We provide the linearization test and describe the procedure for obtaining the linearizing transformations as well as the linearized equation. For ordinary differential equations of order greater than 4 we obtain necessary conditions, which separate all linearizable equations into two classes.

Place, publisher, year, edition, pages
IOP Publishers , 2008. Vol. 23, no 41, 206-235 p.
Keyword [en]
linearization of differential equations, contact transformations, Lie group analysis
National Category
Mathematics Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-7215Local ID: oai:bth.se:forskinfo7340011600A6205AC12574A500343F01OAI: oai:DiVA.org:bth-7215DiVA: diva2:834797
Available from: 2012-11-12 Created: 2008-08-14 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

No full text

In the same journal
Journal of Physics A: Mathematical and Theoretical
MathematicsMathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar

Total: 15 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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