English

Formal Paths, Iterated Integrals and the Center Problem for Ordinary Differential Equations

Dynamical Systems 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We continue the study of the center problem for the ordinary differential equation v=i=1ai(x)vi+1v'=\sum_{i=1}^{\infty}a_{i}(x)v^{i+1} started in our earlier papers. In this paper we present the highlights of the algebraic theory of centers.

Keywords

Cite

@article{arxiv.math/0702800,
  title  = {Formal Paths, Iterated Integrals and the Center Problem for Ordinary Differential Equations},
  author = {Alexander Brudnyi},
  journal= {arXiv preprint arXiv:math/0702800},
  year   = {2007}
}

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35 pages