Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions

DOI10.1016/0022-247X(82)90014-2zbMath0483.34009OpenAlexW2078556175MaRDI QIDQ1163145

Werner Balser, W. B. Jurkat, Donald A. Lutz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-247x(82)90014-2

zbMATH Keywords

Stokes' multipliersdistinct eigenvalue caselateral connection problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (8)

Multi-resurgence and connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ Resurgence and highest level's connection-to-Stokes formulæ for some linear meromorphic differential systems ⋮ The problem of connection of fundamental families of solutions for a system of linear differential equations with polynomial coefficients ⋮ Über eine Abschätzung der Wachstumsordnung der Lösungssysteme von linearen Differentialgleichungssystemen ⋮ Rank reduction, normal forms and Stokes matrices ⋮ Characterization of first level formal solutions by means of the growth of their coefficients ⋮ Second-order linear differential equations with two irregular singular points of rank three: The characteristic exponent ⋮ An integral representation of solutions and the problem of coupling factors for a linear differential equation

Cites Work

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• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• On the reduction of rank of linear differential systems
• A note on generalized factorial series expansions
• Meromorphe Differentialgleichungen
• A two point connection problem
• Holomorphic solutions of linear differential systems at singular points
• Reducing the rank of ordinary differential equations
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• Reduction of Ordinary Differential Equations to the Birkhoff Canonical Form

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