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

DOI10.1134/S0001434618070180zbMath1444.34025OpenAlexW2895243580MaRDI QIDQ1991784

P. V. Bibikov

Publication date: 30 October 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618070180

zbMATH Keywords

ordinary differential equationsymmetry groupjet spacedifferential invariant

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (1)

Classification of certain class of ordinary differential equations of the first order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global Lie-Tresse theorem
• Feedback differential invariants
• Differential invariants of second order ODEs. I
• Differential equations -- Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17--22, 2008
• A class of contact invariants of systems of ordinary differential equations
• On Lie's problem and differential invariants of ODEs \(y = F(x,y)\)
• Point equivalence of functions on the 1-jet space \(J^{1} \mathbb{R}\)
• Generalized Lie problem and differential invariants for the third order ODEs
• On Lie problem and differential invariants for the subgroup of the plane Cremona group
• Polynomial degree reduction of a Fuchsian \(2\times2\) system

This page was built for publication: On differential invariants and classification of ordinary differential equations of the form \(y = A(x, y)y' + B(x, y)\)