Monodromy structure of solutions of holonomic systems of linear differential equations is invariant under the deformation of the system

DOI10.2977/PRIMS/1195187873zbMath0475.35005OpenAlexW2030958229MaRDI QIDQ1159805

Masaki Kashiwara, Takahiro Kawai

Publication date: 1979

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187873

zbMATH Keywords

holonomic systems of linear differential equationsdeformation of systems of (micro-) differential equationsinvariance of global character of solutionsmonodromy structure of solutions

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Perturbations in context of PDEs (35B20) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study

Cites Work

• Invariance of cohomology groups under a deformation of an elliptic system of linear differential equations
• Integrals of nonlinear equations of evolution and solitary waves

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