Linearization of fourth-order ordinary differential equations by point transformations
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Nail H. Ibragimov, Sergey Meleshko, Supaporn Suksern |
| Title: | Linearization of fourth-order ordinary differential equations by point transformations |
| Journal: | Archives of ALGA |
| Year: | 2007 |
| Volume: | 4 |
| Pagination: | 113-134 |
| ISSN: | 1652-4934 |
| Publisher: | ALGA publications, BTH |
| City: | Karlskrona, Sweden |
| ISI number: | 000256388000012 |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. Mathematics and Science (Sektionen för teknik – avd. för matematik och naturvetenskap) School of Engineering S- 371 79 Karlskrona +46 455 38 50 00 http://www.tek.bth.se/ |
| Authors e-mail: | nib@bth.se |
| Language: | English |
| Abstract: | 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. |
| Subject: | Mathematics\Analysis |
| Keywords: | Linearization, point transformations, fourth-order differentila equations, linearization test |
| Note: | Online: http://www.bth.se/ihn/alga.nsf/attachments/Archives%204_1_pdf/$file/Archives%204_1.pdf |
