Local and Global Aspects of Lie's Superposition Theorem

zbMath1205.34123arXiv0901.4478MaRDI QIDQ4930131

David Blázquez-Sanz, Juan J. Morales-Ruiz

Publication date: 28 September 2010

Full work available at URL: https://arxiv.org/abs/0901.4478

zbMATH Keywords

differential Galois theoryLie-Vessiot systemsnonlinear superposition lawsLie-Scheffers theorem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Differential algebra (12H05) Ordinary differential equations on complex manifolds (34M45)

Related Items (5)

A note on the relation between joint and differential invariants ⋮ A functional realization of 𝔰𝔩(3, ℝ) providing minimal Vessiot–Guldberg–Lie algebras of nonlinear second-order ordinary differential equations as proper subalgebras ⋮ Algebraic independence of generic Painlevé transcendents: PIII and PVI ⋮ Nonlinear superposition formulas for two classes of non-holonomic systems ⋮ Dirac-Lie systems and Schwarzian equations

This page was built for publication: Local and Global Aspects of Lie's Superposition Theorem