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Asymptotic behavior of the coefficients of solutions of the Hill equation

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Ukrainian Mathematical Journal Aims and scope

Abstract

A new method for finding the asymptotics of the coefficients of solutions of the Hill equation is given.

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References

  1. V. A. Yakubovich and V. M. Strazhinskii,Parametric Resonance in Linear Systems [in Russian], Nauka, Moscow (1987).

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  2. E. Kamke,Differentialgleichungen, Losungsmethoden und Losungen, Becker & Erler, Leipzig (1942).

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  3. E. T. Whittaker and G. N. Watson,A Course of Modern Analysis, Cambridge University Press, Cambridge (1920).

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Authors and Affiliations

  1. Institute for Fundamental Problems in Technology, Academy of Sciences of Poland, Warsaw

    S. Kochmanski

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  1. S. Kochmanski
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 430–432, April, 1994.

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Kochmanski, S. Asymptotic behavior of the coefficients of solutions of the Hill equation. Ukr Math J 46, 454–457 (1994). https://doi.org/10.1007/BF01060416

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  • DOI: https://doi.org/10.1007/BF01060416

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