Linearization of third-order ordinary differential equations by point and contact transformations.
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Nail H. Ibragimov, Sergey Meleshko |
| Title: | Linearization of third-order ordinary differential equations by point and contact transformations. |
| Journal: | Journal of Mathematical Analysis and Applications |
| Year: | 2005 |
| Volume: | 308 |
| Issue: | 1 |
| Pagination: | 266-289 |
| ISSN: | 0022-247X |
| Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| City: | The Netherlands |
| URI/DOI: | 10.1016/j.jmaa.2005.01.025 |
| ISI number: | 000229812100019 |
| 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 third-order ordinary differential equations by means of point and contact transformations. We provide, in explicit forms, the necessary and sufficient conditions for linearization, the equations for determining the linearizing point and contact transformations as well as the coefficients of the resulting linear equations. |
| Subject: | Mathematics\Analysis |
| Keywords: | Linearization of third-order ordinary differential equations, point transformations, contact transformations |
