Contact transformations and local reducibility of ODE to the form y‴ = 0

Acta Applicandae Mathematicae

Volumn 56, Issue 2-3, 1999, Pages 155-179

  Gusyatnikova, V N ^a   Yumaguzhin, V A ^a  

^a PROGRAM SYSTEMS INSTITUTE   (Russian Federation)

Author keywords

Contact transformations; Equivalence problem; Jet bundles; Linearizability; Ordinary differential equations

Indexed keywords

EID: 0013008593     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1006117615250     Document Type: Article

References (6)

1. Chern, S. S.: Sur la geometrie d'une equation differentielle du troisieme ordre, Comptes Rendus (1937), 1227.
2. Gusyatnikova, V. N. and Yumaguzhin, V. A.: Point transformations and linearizability of second-order ordinary differential equations, Mat. Zametki 49(1) (1991), 146-148 (in Russian, English translation in: Math. Notes) .
3. Cartan, E.: Sur les varietes a connexion projective, Bull. Soc. Math. France 52 (1924), 205-241 .
4. Grissom, C., Tompson, G., and Wilkens, G.: Linearization of second order ordinary differential equations via Cartan's equivalence method, J. Differential Equations 77 (1989), 1-15.
5. Kuranishi, M.: Lectures on Involutive Systems of Partial Differential Equations, São Paulo, 1967.
6. Krasil'shchik, I. S., Lychagin, V. V., and Vinogradov, A. M.: Geometry of Jet Spaces and Nonlinear Partial Differential Equations, Gordon and Breach, New York, 1986.