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

2019/04/06 by Martin Klimeš, Klimes, Martin
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1904.03426

openalex publication_date 2019/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The article provides a local classification of singularities of meromorphic second order linear differential equation with respect to analytic/meromorphic linear point transformations. It also addresses the problem of determining the Lie algebra of analytic linear infinitesimal symmetries of the singularities.

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