On Lie's problem and differential invariants of ODEs \(y = F(x,y)\)

DOI10.1007/S10688-017-0191-2zbMath1402.34039OpenAlexW2776433392MaRDI QIDQ1707023

P. V. Bibikov

Publication date: 28 March 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-017-0191-2

zbMATH Keywords

jet spacedifferential invariantpoint transformationpseudogroupLie's problem

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14)

Related Items (4)

Unnamed Item ⋮ On the Lie problem in PDEs and effective classification of the differential equations with algebraic coefficients ⋮ On differential invariants and classification of ordinary differential equations of the form \(y = A(x, y)y' + B(x, y)\) ⋮ Classification of second order linear ordinary differential equations with rational coefficients

Cites Work

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• \(\mathrm{GL}_2(\mathbb C)\)-orbits of binary rational forms
• Global Lie-Tresse theorem
• Feedback differential invariants
• Differential invariants of second order ODEs. I
• 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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