Painlevé's determinateness theorem extended to proper coverings

Details Painlevé's determinateness theorem extended to proper coverings Painlevé's determinateness theorem extended to proper coverings

2009-01-29

arxiv.org/abs/0901.4689v3

Electron. J. Diff. Equ., Vol. 2010(2010), No. 55, pp. 1-9.

Mathematics

Complex Variables

v3: 9 pages - AMS LaTex. Exposition improved. Proof of main theorem restructred. Examples added. Main result essentially uncha

Scientific paper

We extend Painlev\'e's determinateness theorem to the case of first order
ordinary differential equations in the complex domain with known terms allowed
be multivalued in the dependent variable as well; multivaluedness is supposed
to be resolved by proper coverings.

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