Point equivalence of functions on the 1-jet space \(J^{1} \mathbb{R}\)

DOI10.1007/S10688-014-0068-6zbMath1370.37060OpenAlexW2084681593MaRDI QIDQ2342087

P. V. Bibikov

Publication date: 8 May 2015

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

Full work available at URL: https://doi.org/10.1007/s10688-014-0068-6

zbMATH Keywords

jet spacedifferential invariantinvariant derivationpoint pseudogroup

Mathematics Subject Classification ID

Jets in global analysis (58A20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Differential invariants (local theory), geometric objects (53A55)

Related Items (6)

Generalized Lie problem and differential invariants for the third order ODEs ⋮ On Lie's problem and differential invariants of ODEs \(y = F(x,y)\) ⋮ On differential invariants and classification of ordinary differential equations of the form \(y = A(x, y)y' + B(x, y)\) ⋮ On symplectization of 1-jet space and differential invariants of point pseudogroup ⋮ On classification problems in the theory of differential equations: Algebra + geometry ⋮ Differential invariants and problems of contact and point equivalence of functions on \(n\)-jet spaces \(J^n\mathbb R\)

Cites Work

• Global Lie-Tresse theorem
• Feedback differential invariants
• Point Classification of Second Order ODEs: Tresse Classification Revisited and Beyond
• Unnamed Item

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