On the geometry of \(y^{(4)}=f(x,y,y^{\prime },y^{\prime\prime },y^{\prime\prime\prime })\)

DOI10.1016/j.jmaa.2005.11.055zbMath1111.34032OpenAlexW2035086311MaRDI QIDQ855447

Sylvain Neut, Raouf Dridi

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.055

zbMATH Keywords

equivalenceCartan methodcontact tranformation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14)

Related Items

Linearization of fifth-order ordinary differential equations by generalized Sundman transformations, Reduction of fifth-order ordinary differential equations to linearizable form by contact transformations, Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations, Differential invariants of a Lie group action: syzygies on a generating set

Cites Work

• The geometry of the equation \(y'=f(x,y,y',y)\)
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