2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107783In 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.41 pagesComplex VariablesAnalysis of PDEs30E15, 34E20, 34L40, 34M60, 41A60Résurgence des solutions BKW d'une EDO singulièrement perturbéetext