An existence theorem in the algebraic study of homogeneous linear ordinary differential equations
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- by Marvin P. Epstein PDF
- Proc. Amer. Math. Soc. 6 (1955), 33-41 Request permission
References
- E. R. Kolchin, Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Ann. of Math. (2) 49 (1948), 1–42. MR 24884, DOI 10.2307/1969111
- E. R. Kolchin, Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations, Bull. Amer. Math. Soc. 54 (1948), 927–932. MR 27744, DOI 10.1090/S0002-9904-1948-09099-1
- E. R. Kolchin, Galois theory of differential fields, Amer. J. Math. 75 (1953), 753–824. MR 58591, DOI 10.2307/2372550
- Joseph Fels Ritt, Differential Algebra, American Mathematical Society Colloquium Publications, Vol. XXXIII, American Mathematical Society, New York, N. Y., 1950. MR 0035763
- André Weil, Foundations of Algebraic Geometry, American Mathematical Society Colloquium Publications, Vol. 29, American Mathematical Society, New York, 1946. MR 0023093
Additional Information
- © Copyright 1955 American Mathematical Society
- 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