Mathematics – Complex Variables
Scientific paper
2001-09-13
REND.SEM.MAT.UNIV.PADOVA-VOL.108 (2002)
Mathematics
Complex Variables
3 pages, LaTeX; completely revised version
Scientific paper
We extend Painlev\'e'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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