Isomonodromic deformation of the linear differential system in the Birkhoff standard form

2014/12/09 by Yulia Bibilo, Bibilo, Yulia
Mathematics · Physics and Astronomy · #34M56 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #math.CA #msc:34M56

paper · pdf · doi:10.48550/arxiv.1412.2896

8 pages

arxiv created 2014/12/09 · openalex publication_date 2014/12/09 · arxiv updated 2014/12/10 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We consider a linear meromorphic system in the Birkhoff standard form. The construction of the isomonodromic deformation of it proposed by Bolibruch is discussed. This construction has some special characteristics because of resonant irregular singularity at the infinity.

Citations

• Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II

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