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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References | Similar Articles | Additional Information

**[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