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Résurgence des solutions BKW d'une EDO singulièrement perturbée

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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https://hal.archives-ouvertes.fr/hal-00018339
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Submitted on : Tuesday, January 31, 2006 - 5:16:16 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:47 AM
Long-term archiving on: : Saturday, April 3, 2010 - 10:00:57 PM

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Jean-Marc Rasoamanana. Résurgence des solutions BKW d'une EDO singulièrement perturbée. 2006. ⟨hal-00018339⟩

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