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An existence theorem in the algebraic study of homogeneous linear ordinary differential equations


Author: Marvin P. Epstein
Journal: Proc. Amer. Math. Soc. 6 (1955), 33-41
MSC: Primary 09.1X
DOI: https://doi.org/10.1090/S0002-9939-1955-0067102-6
MathSciNet review: 0067102
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  • [1] E. R. Kolchin, Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Ann. of Math. (2) vol. 49 (1948) pp. 1-42. MR 0024884 (9:561c)
  • [2] -, Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 927-932. MR 0027744 (10:349a)
  • [3] -, Galois theory of differential fields, Amer. J. Math. vol. 75 (1953) pp. 753-824. MR 0058591 (15:394a)
  • [4] J. F. Ritt, Differential algebra, Amer. Math. Soc. Colloquium Publications, vol. 33, 1950. MR 0035763 (12:7c)
  • [5] A. Weil, Foundations of algebraic geometry, Amer. Math. Soc. Colloquium Publications, vol. 29, 1946. MR 0023093 (9:303c)

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DOI: https://doi.org/10.1090/S0002-9939-1955-0067102-6
Article copyright: © Copyright 1955 American Mathematical Society

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