Journal of Mathematical Sciences

, Volume 208, Issue 2, pp 222–228 | Cite as

The Singular Hill Equation and Generalized Lindemann–Stieltjes Method


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.


Parametric Resonance Real Scalar Fractional Power Hill Equation Parametric Instability 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation RASTroitskRussia

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