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

Alexander Brudnyi
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Abstract

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

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Alexander Brudnyi. 2007-02-26. Formal Paths, Iterated Integrals and the Center Problem for Ordinary Differential Equations. https://arxiv.org/abs/math/0702800

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