Linearization of fourth-order ordinary differential equations by point transformations
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2007 (English)In: Archives of ALGA, ISSN 1652-4934, Vol. 4, 113-134 p.Article in journal (Refereed) Published
We present here the solution of the problem on linearization of fourth-order equations by means of point transformations. 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.
Place, publisher, year, edition, pages
Karlskrona, Sweden: ALGA publications, BTH , 2007. Vol. 4, 113-134 p.
Linearization, point transformations, fourth-order differentila equations, linearization test
IdentifiersURN: urn:nbn:se:bth-8830ISI: 000256388000012Local ID: oai:bth.se:forskinfo3A42C96A4F77427FC12573BF00419D49OAI: oai:DiVA.org:bth-8830DiVA: diva2:836585
Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204 _1.pdf2012-09-182007-12-282015-06-30Bibliographically approved