Factorization of differential operators
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- by Anton Zettl PDF
- Proc. Amer. Math. Soc. 27 (1971), 425-426 Request permission
Abstract:
A necessary and sufficient condition for a differential operator of order $n$ to be factorable into a product of operators of orders $n - r$ and $r$, for any $0 < r < n$, is given.References
- E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
- G. Pólya, On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), no. 4, 312–324. MR 1501228, DOI 10.1090/S0002-9947-1922-1501228-5
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 425-426
- MSC: Primary 34.02
- DOI: https://doi.org/10.1090/S0002-9939-1971-0273085-5
- MathSciNet review: 0273085