Calcul des invariants de Malgrange et de Gérard-Levelt d'un système différentiel linéaire en un point singulier irrégulier. (The Malgrange and Gérard-Levelt invariants calculus of a differential system linear in an irregular singular point)

DOI10.1016/0022-0396(87)90126-4zbMath0619.34009OpenAlexW2061927401MaRDI QIDQ1089482

B. George

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90126-4

zbMATH Keywords

first order differential equationcyclic vector methodsuper- irreducible form

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Ordinary differential equations in the complex domain (34M99)

Related Items (4)

On the algebraic and differential Newton-Puiseux polygons ⋮ On super-irreducible forms of linear differential systems with rational function coefficients. ⋮ On matrix perturbations with minimal leading Jordan structure. ⋮ Formal solutions of differential equations

Cites Work

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• L'irrégularité en un point singulier d'un système d'équations différentielles linéaires d'ordre 1
• On the identification and stability of formal invariants for singular differential equations
• Un algorithme de calcul de l'invariant de Katz d'un système différentiel linéaire. (An algorithm for the calculation of the Katz invariant of a linear differential system)
• Formes super-irréductibles des systèmes différentiels linéaires. (Super-irreducible forms of linear differential systems)
• Sur les points singuliers des équations différentielles
• Zur Reduktion von linearen Differentialgleichungssystemen
• Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires
• Equations différentielles à points singuliers réguliers
• The order of a singularity in Fuchs' theory

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