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Linearization of third-order ordinary differential equations by point transformations.
Blekinge Institute of Technology, Department of Health, Science and Mathematics.
Responsible organisation
2004 (English)In: Archives of ALGA, ISSN 1652-4934, Vol. 1, 95-126 p.Article in journal (Refereed) Published
Abstract [en]

We present here the necessary and sufficient conditions for linearization of third-order equations by means of point transformations. We show that all third-order equations that are linearizable by point transformations are contained either in the class of equations which are linear in the second-order derivative, or in the class of equations which are quadratic in the second-order derivative. We provide the linearization test for each of these classes and describe the procedure for obtaining the linearizing point transformations as well as the linearized equation.

Place, publisher, year, edition, pages
Karlskrona; Sweden: ALGA publications, BTH , 2004. Vol. 1, 95-126 p.
Keyword [en]
linearization of third-order equations, point transformations, symmetries
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8844Local ID: oai:bth.se:forskinfo37F573FF7272D67CC12573BE00669BC8OAI: oai:DiVA.org:bth-8844DiVA: diva2:836599
Available from: 2012-09-18 Created: 2007-12-27 Last updated: 2016-09-02Bibliographically approved

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