English

On the convergence of an exotic formal series solution of an ODE

Classical Analysis and ODEs 2019-01-01 v1

Abstract

A sufficient condition of the convergence of an exotic formal series (a kind of power series with complex exponents) solution to an ODE of a general form is proposed.

Keywords

Cite

@article{arxiv.1812.11814,
  title  = {On the convergence of an exotic formal series solution of an ODE},
  author = {Renat Gontsov and Irina Goryuchkina},
  journal= {arXiv preprint arXiv:1812.11814},
  year   = {2019}
}