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Solutions of first order differential equations which are solutions of linear differential equations of higher order


Author: Lawrence Goldman
Journal: Proc. Amer. Math. Soc. 10 (1959), 936-939
MSC: Primary 12.00
DOI: https://doi.org/10.1090/S0002-9939-1959-0118718-3
MathSciNet review: 0118718
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References [Enhancements On Off] (What's this?)

  • [1] E. R. Kolchin, Extension of differential fields, I, Ann. of Math. (2) vol. 43 (1942) pp. 724-729. MR 0007011 (4:72b)
  • [2] A. Loewy, Über die Irreduzibilität der linearen homogenen Substitusionsgruppen und Differentialgleichungen. Math. Ann. vol. 70 (1911) pp. 94-109.
  • [3] H. Poincaré, Sur les groupes des equations lineaires, Acta Math. vol. 4 (1884) pp. 201-311. MR 1554639
  • [4] J. F. Ritt, Differential algebra, New York, Amer. Math. Soc. Colloquium Publications, vol. 33, 1950. MR 0035763 (12:7c)
  • [5] L. Schlesinger, Handbuch der Theorie der linearen Differentialgleichungen, Leipzig, 1897.

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DOI: https://doi.org/10.1090/S0002-9939-1959-0118718-3
Article copyright: © Copyright 1959 American Mathematical Society

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