Solutions of first order differential equations which are solutions of linear differential equations of higher order
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- by Lawrence Goldman PDF
- Proc. Amer. Math. Soc. 10 (1959), 936-939 Request permission
References
- E. R. Kolchin, Extensions of differential fields. I, Ann. of Math. (2) 43 (1942), 724–729. MR 7011, DOI 10.2307/1968962 A. Loewy, Über die Irreduzibilität der linearen homogenen Substitusionsgruppen und Differentialgleichungen. Math. Ann. vol. 70 (1911) pp. 94-109.
- H. Poincaré, Sur les groupes des équations linéaires, Acta Math. 4 (1884), no. 1, 201–312 (French). MR 1554639, DOI 10.1007/BF02418420
- Joseph Fels Ritt, Differential Algebra, American Mathematical Society Colloquium Publications, Vol. XXXIII, American Mathematical Society, New York, N. Y., 1950. MR 0035763 L. Schlesinger, Handbuch der Theorie der linearen Differentialgleichungen, Leipzig, 1897.
Additional Information
- © Copyright 1959 American Mathematical Society
- 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