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Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures

It is well known that the non-spiraling leaves of real analytic foliations of codimension 1 all belong to the same o-minimal structure. Naturally, the question arises if the same statement is true for non-oscillating trajectories of real analytic vector fields. We show, under certain assumptions, th...

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Detalles Bibliográficos
Autores principales: Rolin, J P, Sanz, F, Schäfke, R
Lenguaje:eng
Publicado: 2005
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/897527