Note on the least eigenvalue of the Hill equation

Kato, Tosio

doi:10.1090/qam/99983

Online ISSN 1552-4485; Print ISSN 0033-569X

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Note on the least eigenvalue of the Hill equation

Author: Tosio Kato
Journal: Quart. Appl. Math. 10 (1952), 292-294
DOI: https://doi.org/10.1090/qam/99983
MathSciNet review: QAM99983
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References | Additional Information

R. Courant and D. Hilbert, Methoden der Mathematischen Physik, I, second edition, Berlin, 1931.

T. Kato, On the convergence of the perturbation method, J. Fac. Sci., Univ. Tokyo, (I) 6, 145-226 (1951).

C. R. Putnam, On the least eigenvalue of Hill’s equation, Quart. Appl. Math. 9 (1951), 310–314. MR 44706, DOI https://doi.org/10.1090/S0033-569X-1951-44706-2

M. J. O. Strutt, Lamésche, Mathieusche und verwandte Funktionen in Physik und Technik, Berlin, 1932.

Aurel Wintner, On the non-existence of conjugate points, Amer. J. Math. 73 (1951), 368–380. MR 42005, DOI https://doi.org/10.2307/2372182