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
Authors e-mail:
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