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Birkhoff invariants and meromorphic differential equations

  • Partie A: Equations Differentielles Ordinaires Dans Le Champ Complexe
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Equations Différentielles et Systèmes de Pfaff dans le Champ Complexe

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 712))

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References

  1. BIRKHOFF G.D. Equivalent singular points for ordinary linear differential equations. Math. Ann. 74 (1913), 134–139.

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  2. GANTMACHER F.R. Theory of Matrices, vol. II. Chelsea, New York, 1959.

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  3. JURKAT W., LUTZ D., PEYERIMHOFF A. Birkhoff invariants and effective calculations for meromorphic linear differential equations, I. J. Math. Anal. Appl. (1976).

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  4. JURKAT W., LUTZ D., PEYERIMHOFF A. Birkhoff invariants and effective calculations for meromorphic linear differential equations, II. Houston, J. Math. (1976).

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  5. JURKAT W., LUTZ D., PEYERIMHOFF A. Invariants and canonical forms for meromorphic second order differential equations. Proc. Second Scheveningen Conf. on Differential Equations, North. Holland Pub. Co. (1976).

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  6. MASANI P. On a result of G.D. Birkhoff on linear differential equations. Proc. Amer. Math. Soc. 10 (1959), 696–698.

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  7. TURRITTIN H.L. Reduction of ordinary differential equations to the Birkhoff canonical form. Trans. Amer. Math. Soc. 107 (1963), 485–507.

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Authors and Affiliations

  1. Institut De Recherche Mathematique Avancee, Laboratoire Associé au C.N.R.S., 7, rue René Descartes, 67084, Strasbourg Cédex

    Donald A. Lutz

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  1. Donald A. Lutz
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Raymond Gérard Jean-Pierre Ramis

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© 1979 Springer-Verlag

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Lutz, D.A. (1979). Birkhoff invariants and meromorphic differential equations. In: Gérard, R., Ramis, JP. (eds) Equations Différentielles et Systèmes de Pfaff dans le Champ Complexe. Lecture Notes in Mathematics, vol 712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062816

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  • DOI: https://doi.org/10.1007/BFb0062816

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09250-6

  • Online ISBN: 978-3-540-35314-0

  • eBook Packages: Springer Book Archive

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