Generalized Lie problem and differential invariants for the third order ODEs

DOI10.1134/S1995080217040059zbMath1375.34055OpenAlexW2734830141MaRDI QIDQ2404801

P. V. Bibikov

Publication date: 20 September 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217040059

zbMATH Keywords

ordinary differential equationsymmetry algebrajet spacedifferential invariantinvariant derivation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14)

Related Items (2)

Unnamed Item ⋮ On differential invariants and classification of ordinary differential equations of the form \(y = A(x, y)y' + B(x, y)\)

Cites Work

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• Petrov invariants of Hamiltonian systems with a control parameter
• Global Lie-Tresse theorem
• Differential invariants and contact classification of ordinary differential equations
• Differential invariants of second order ODEs. I
• A class of contact invariants of systems of ordinary differential equations
• Equivalence of holonomic differential equations
• Point equivalence of functions on the 1-jet space \(J^{1} \mathbb{R}\)
• Equivalence of second-order ordinary differential equations to Painlevé equations
• Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond

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