Linearization of third-order ordinary differential equations

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Nail H. Ibragimov, Sergey Meleshko
Title: Linearization of third-order ordinary differential equations
Conference name: The 10th international conference "Modern Group Analysis”
Year: 24-31 October 2004
Pagination: 100-106
City: Larnaca, Cyprus
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: We present here the complete solution to the problem on linearization of third-order equations by means of general point transformations. We also formulate the criteria for reducing third-order equations to the equation y''' = 0 by contact transformations.
Subject: Mathematics\Analysis
Keywords: Linearization, third-order ordinary differential equations, differential eqautions, Lie group analysis, symmetries, contact transformations