Painlevé's theorem extended

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We extend Painlevé's determinateness theorem from the theory of ordinary differential equations in the complex domain allowing more general 'multiple-valued' Cauchy's problems. We study $C^0-$continuability (near singularities) of solutions.
3 pages, LaTeX; completely revised version

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Complex Variables, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/62185

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109081
 http://arxiv.org/abs/math/0109081
 REND.SEM.MAT.UNIV.PADOVA-VOL.108 (2002)

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arXiv