Integrating factors for higher-order equations
| Document type: | Conference Presentations |
|---|---|
| Peer reviewed: | Yes |
| Author(s): | Nail H. Ibragimov |
| Title: | Integrating factors for higher-order equations |
| Conference name: | International conference MOGRAN 11 |
| Year: | May 27-June 2, 2007 |
| City: | Karlskrona; Sweden |
| 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: | Integrating factors are determined for ordinary differential equations of an arbitrary order. In the case of first-order equations the new definition coincides with the usual definition of integrating factor introduced by A. Clairaut in 1739. It is shown that higher-order equations, unlike the first-order equations, can have an integrating factor even when they do not admit Lie point symmetries. The method is illustrated by several examples. |
| Subject: | Mathematics\Analysis |
| Keywords: | Integrating factors, higher-order differential equations |
