Reduction of Ordinary Differential Equations to the Birkhoff Canonical Form

DOI10.2307/1993815zbMath0115.07002OpenAlexW4239864216MaRDI QIDQ5723357

H. L. Turrittin

Publication date: 1963

Full work available at URL: https://doi.org/10.2307/1993815

zbMATH Keywords

ordinary differential equations

Related Items (11)

A connection problem involving a logarithmic function ⋮ Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations ⋮ Réduction de Birkhoff des 1-formes différentielles à partie singulière bien adaptée et à coefficients à valeurs dans une algèbre de Lie libre. (Birkhoff reduction of differential 1-forms with good adapted singular part and with coefficients with values in a free Lie algebra) ⋮ On an Analytic Simplification of a System of Linear Ordinary Differential Equations Containing a Parameter ⋮ On linear systems and \(\tau\) functions associated with Lamé's equation and Painlevé's equation VI ⋮ Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions ⋮ Integrable operators and the squares of Hankel operators ⋮ Fast evaluation of holonomic functions near and in regular singularities ⋮ Birkhoff invariants and effective calculations for meromorphic linear differential equations. I ⋮ Kernels and point processes associated with Whittaker functions ⋮ Entire solutions of nonhomogeneous linear differential equations

Cites Work

• Unnamed Item
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point
• On a Result of G. D. Birkhoff on Linear Differential Systems

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