Contact transformations and local reducibility of ODE to the form \(y=0\)

DOI10.1023/A:1006117615250zbMath0947.34024OpenAlexW43178235MaRDI QIDQ1304726

V. N. Gusyatnikova, Valerij A. Yumaguzhin

Publication date: 22 September 1999

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006117615250

zbMATH Keywords

ordinary differential equationjet bundleslinearizabilityequivalence problemcontact transformation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Linear ordinary differential equations and systems (34A30) Differential invariants (local theory), geometric objects (53A55)

Related Items (6)

Third-order ordinary differential equations equivalent to linear second-order ordinary differential equations via tangent transformations ⋮ Linearization of fifth-order ordinary differential equations by generalized Sundman transformations ⋮ Reduction of fifth-order ordinary differential equations to linearizable form by contact transformations ⋮ Generating functions and existence of contact symmetries of third order scalar ordinary differential equations ⋮ On first integrals of second-order ordinary differential equations ⋮ Solvable structures associated to the nonsolvable symmetry algebra \(\mathfrak{sl}(2,\mathbb{R})\)

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