Geodesic
Painlevé's determinateness theorem extended to proper coverings
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We extend Painleve's determinateness theorem to first-order ordinary differential equations in the complex domain, with known terms allowed be multivalued in the dependent variable. The multivaluedness is supposed to be resolved by proper coverings.
Classification : 34M35, 34M45
Keywords: Painlevé's determinateness theorem, complex differential equations, Cauchy's problem, analytic continuation, singularities, multi-valued function, Riemann surface 
@article{EJDE_2010__2010__a219,
     author = {Meneghin, Claudi},
     title = {Painlev\'e's determinateness theorem extended to proper coverings},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a219/}
}
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Meneghin, Claudi. Painlevé's determinateness theorem extended to proper coverings. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a219/