ON IMPLICIT SECOND-ORDER PDE OF A SCALAR FUNCTION ON A PLANE VIA DIFFERENTIAL SYSTEMS

DOI10.1142/S0129167X11007069zbMath1227.58001MaRDI QIDQ3094363

Takahiro Noda, Kazuhiro Shibuya

Publication date: 24 October 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential systemcontact invariantimplicit second-order PDEnonsubmersion

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Vector distributions (subbundles of the tangent bundles) (58A30) PDEs on manifolds (35R01)

Related Items (1)

Second order type-changing equations for a scalar function on a plane

Cites Work

• On the prolongation of 2-jet space of 2 independent and 1 dependent variables
• On the equivalence problems associated with simple graded Lie algebras
• Bifurcations of ordinary differential equations of Clairaut type
• Geometrization of jet bundles
• Second-order type-changing evolution equations with first-order intermediate equations
• On generalized graded Lie algebras and geometric structures. I
• Contact Geometry of Second Order I
• CLASSIFICATION OF GENERIC INTEGRAL DIAGRAMS AND FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS

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