On equivalence of singularities of second order linear differential equations by point transformations

DOI10.5802/afst.1684zbMath1486.34170OpenAlexW3209850683WikidataQ115159084 ScholiaQ115159084MaRDI QIDQ2053315

Martin Klimeš

Publication date: 29 November 2021

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1684

zbMATH Keywords

normal formslinear ordinary differential equationsirregular singularityregular singularityStokes phenomenonlocal analytic classificationanalytic Lie symmetries

Mathematics Subject Classification ID

Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• Divergent series, summability and resurgence II. Simple and multiple summability
• On local Weyl equivalence of higher order Fuchsian equations
• Divergent CR-equivalences and meromorphic differential equations
• Asymptotic analysis for integrable connections with irregular singular points
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• Differential Galois theory and Lie symmetries
• Summability of divergent series
• Formal power series and linear systems of meromorphic ordinary differential equations
• Hall-order differentials on Riemann surfaces
• Lie symmetries and differential Galois groups of linear equations
• Sur les ensembles semi-analytiques avec conditions Gevrey au bord
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