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Résurgence des solutions BKW d'une EDO singulièrement perturbée

Jean-Marc Rasoamanana
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Abstract

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.

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Jean-Marc Rasoamanana. 2006-01-31. Résurgence des solutions BKW d'une EDO singulièrement perturbée. https://arxiv.org/abs/math/0601773

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