R\'{e}surgence des solutions BKW d'une EDO singuli\`{e}rement perturb\'{e}e
复变函数
2007-05-23 v1 偏微分方程分析
摘要
In this article, we investigate the resurgent properties of the WKB solutions for a singularly perturbated second order ordinary differential equation. In particular, we extend and propose a new proof of a theorem due to Aoki (et al) near a simple turning point, in the framework of the exact WKB analysis. Our scheme of proof is based on a Laplace-integral representation derived from an existence theorem of holomorphic solutions for a linear singular partial differential equation.
引用
@article{arxiv.math/0601773,
title = {R\'{e}surgence des solutions BKW d'une EDO singuli\`{e}rement perturb\'{e}e},
author = {Jean-Marc Rasoamanana},
journal= {arXiv preprint arXiv:math/0601773},
year = {2007}
}
备注
41 pages