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

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

2007-02-26

arxiv.org/abs/math/0702800v1

Mathematics

Dynamical Systems

35 pages

Scientific paper

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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