Painleve's determinateness theorem extended to proper coverings

Electronic Journal of Differential Equations

关键词: Painleve's determinateness theorem;    complex differential equations;    Cauchy's problem;    analytic continuation;    singularities;    multi-valued function;    Riemann surface;   

DOI  :  

来源: DOAJ

【 摘 要 】

We extend Painleve's determinateness theorem to first-orderordinary 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.

【 授权许可】

Unknown