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Painlevé's theorem extended

Claudio Meneghini
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Abstract

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.

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Claudio Meneghini. 2002-05-16. Painlevé's theorem extended. https://arxiv.org/abs/math/0109081

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