Skip to Main content Skip to Navigation
Other publications

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.
Complete list of metadata

Cited literature [35 references]  Display  Hide  Download
Contributor : Secrétariat Math. Angers <>
Submitted on : Tuesday, January 31, 2006 - 5:16:16 PM
Last modification on : Monday, March 9, 2020 - 6:15:53 PM
Long-term archiving on: : Saturday, April 3, 2010 - 10:00:57 PM




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



Record views


Files downloads