Painleve's determinateness theorem extended to proper coverings

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.

Bibliographic Details
Main Author: Claudi Meneghin
Format: Article
Language:English
Published: Texas State University 2010-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/55/abstr.html