Birkhoff invariants and effective calculations for meromorphic linear differential equations. I

DOI10.1016/0022-247X(76)90122-0zbMath0358.34007MaRDI QIDQ1238231

A. Peyerimhoff, W. B. Jurkat, Donald A. Lutz

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear ordinary differential equations and systems (34A30) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (15)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations ⋮ A reduction theory of second order meromorphic differential equations, I ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with a rank one lattice ⋮ Differential equations with meromorphic coefficients ⋮ The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation ⋮ Question of representing the solution of a matrix differential equation as a factorial series ⋮ Hyperasymptotics for nonlinear ODEs I. A Riccati equation ⋮ On the Riemann--Hilbert--Birkhoff inverse monodromy problem and the Painlevé equations ⋮ On the generalized Riemann--Hilbert problem with irregular singularities ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity ⋮ A reduction theory of second order meromorphic differential equations. II ⋮ Problèmes de modules pour des équations différentielles non linéaires du premier ordre ⋮ On the adjacency quantization in an equation modeling the Josephson effect

Cites Work

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• On a Result of G. D. Birkhoff on Linear Differential Systems
• On the Order of Solutions of Analytic Linear Differential Equations
• Reduction of Ordinary Differential Equations to the Birkhoff Canonical Form

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