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Fibre completion, contact singularities and single-valued solutions to -systems of first-order ordinary differential equations

Marek Kossowski-+, Marcus Kriele++ and Willem M Sluis++

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Recommended by R S MacKay

We establish the local existence of solutions with isolated -singularities for smooth, possibly underdetermined, systems of first-order ODE.

AMS classification scheme numbers 34A34, 34C05


PACS

02.30.Hq Ordinary differential equations

02.60.Lj Ordinary and partial differential equations; boundary value problems

MSC

34A34 Nonlinear equations and systems, general

34C05 Location of integral curves, singular points, limit cycles

Subjects

Mathematical physics

Computational physics

Dates

Issue 1 (January 1996)

Received 20 April 1994, in final form 3 October 1995



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