Zur Reduktion von linearen Differentialgleichungssystemen

DOI10.1007/BF01351558zbMath0386.34012MaRDI QIDQ1249680

Volker Dietrich

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182777

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (7)

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) ⋮ Formes super-irréductibles des systèmes différentiels linéaires. (Super-irreducible forms of linear differential systems) ⋮ Über eine Abschätzung der Wachstumsordnung der Lösungssysteme von linearen Differentialgleichungssystemen ⋮ Über eine notwendige und hinreichende Bedingung für regulär singuläres Verhalten von linearen Differentialgleichungssystemen ⋮ On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity ⋮ Computation of formal fundamental solutions ⋮ On the identification and stability of formal invariants for singular differential equations

Cites Work

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• On the reduction of rank of linear differential systems
• On system of linear differential equations having regular singular solutions
• Reducing the rank of ordinary differential equations
• The order of a singularity in Fuchs' theory
• Über regulär-singuläre Lösungen von Systemen linearer Differentialgleichungen. II.
• Über regulär-singuläre Lösungen von Systemen linearer Differentialgleichungen. I.
• Characterizations of linear differential systems with a regular singular point
• Some Characterizations of Systems of Linear Differential Equations having Regular Singular Solutions
• Linear Systems of Difference Equations with a Regular Singularity
• On the Order of Solutions of Analytic Linear Differential Equations

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