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The Singular Hill Equation and Generalized Lindemann–Stieltjes Method

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Based on the Lindemann–Stieltjes method, we propose an approach to the solution of a singular Hill equation. We consider Hill equations with logarithmic and fractional power singularities. In the space of parameters, we find resonance zones and compute the Floquet exponent.

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Authors and Affiliations

  1. Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation RAS, Troitsk, 142190, Russia

    V. A. Koutvitsky & E. M. Maslov

Authors
  1. V. A. Koutvitsky
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  2. E. M. Maslov
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Correspondence to V. A. Koutvitsky.

Additional information

Translated from Problemy Matematicheskogo Analiza 80, April 2015, pp. 67-72.

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Koutvitsky, V.A., Maslov, E.M. The Singular Hill Equation and Generalized Lindemann–Stieltjes Method. J Math Sci 208, 222–228 (2015). https://doi.org/10.1007/s10958-015-2439-9

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  • DOI: https://doi.org/10.1007/s10958-015-2439-9

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