On the factorizations of ordinary linear differential operators

Etgen, G. J.; Jones, G. D.; Taylor, W. E.

doi:10.1090/S0002-9947-1986-0854095-9

On the factorizations of ordinary linear differential operators
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by G. J. Etgen, G. D. Jones and W. E. Taylor

Trans. Amer. Math. Soc. 297 (1986), 717-728

DOI: https://doi.org/10.1090/S0002-9947-1986-0854095-9

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Abstract:

Relations are found between the nonvanishing of certain Wronskians and disconjugacy properties of ${L_n}y + py = 0$, where ${L_n}y$ is a disconjugate operator and $p$ is sign definite. The results are then used to show ways in which ${L_n}y + py$ can be factored.

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