A note on the convergence of multivariate formal power series solutions of meromorphic Pfaffian systems
Classical Analysis and ODEs
2018-12-17 v2
Abstract
Here we present some compliments to theorems of Gerard and Sibuya, on the convergence of multivariate formal power series solutions of nonlinear meromorphic Pfaffian systems. Their the most known results concern completely integrable systems with nondegenerate linear parts, whereas we consider some cases of non-integrability and degeneracy.
Keywords
Cite
@article{arxiv.1808.01521,
title = {A note on the convergence of multivariate formal power series solutions of meromorphic Pfaffian systems},
author = {Renat Gontsov and Irina Goryuchkina},
journal= {arXiv preprint arXiv:1808.01521},
year = {2018}
}