On higher-order Stokes phenomena of an inhomogeneous linear ordinary differential equation

DOI10.1016/j.cam.2003.12.023zbMath1058.34123OpenAlexW2170349758WikidataQ115359900 ScholiaQ115359900MaRDI QIDQ1877213

Yanyan Li

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.023

zbMATH Keywords

asymptotic expansionsturning pointsconnection formulaeStokes phenomenonStokes multiplierinhomogeneous differential equations

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (1)

New gravity–capillary waves at low speeds. Part 2. Nonlinear geometries

Cites Work

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• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• On the exact steepest descent method: A new method for the description of Stokes curves
• On the higher–order Stokes phenomenon
• Hyperasymptotic solutions of inhomogeneous linear differential equations with a singularity of rank one
• New Stokes’ line in WKB theory
• Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one

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