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I. Krasilʹshchik, V. Lychagin, A. Vinogradov (1986)
Geometry of jet spaces and nonlinear partial differential equations
V. Gusyatnikova, V. Yumaguzhin (1991)
Point transformations and linearizability of second-order ordinary differential equationsMathematical notes of the Academy of Sciences of the USSR, 49
Charles Grissom, G. Thompson, G. Wilkens (1989)
Linearization of second order ordinary differential equations via Cartan's equivalence methodJournal of Differential Equations, 77
L. Sirovich (1941)
Partial Differential Equations
倉西 正武 (1967)
Lectures on involutive systems of partial differential equations
V. N. Gusyatnikova, V. A. Yumaguzhin (1991)
Point transformations and linearizability of second-order ordinary differential equationsMat. Zametki, 49
S. Chern, M. Cartan (1989)
Sur la Géométrie d’une Équation Différentielle du Troisième Ordre
E. Cartan
Sur les variétés à connexion projectiveBulletin de la Société Mathématique de France, 52
Orbits of the ODE y‴=0 in corresponding jet bundles are investigated. Explicit relations for the right-hand side of an arbitrary 3-order ODE necessary and sufficient for the existence of a contact transformation reducing this equation locally to the form y‴=0 are obtained.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 16, 2004
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