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Stability theory for Hill equations with generalized coefficient


Author: H. Guggenheimer
Journal: Proc. Amer. Math. Soc. 53 (1975), 155-158
MSC: Primary 34D20
DOI: https://doi.org/10.1090/S0002-9939-1975-0407399-6
MathSciNet review: 0407399
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Abstract: A simple geometric proof is given for the existence of Ljapunov's intervals of stability and instability for Hill equations with generalized coefficients.


References [Enhancements On Off] (What's this?)

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  • [5] V. M. Staržinskii, A survey of works on conditions of stability of the trivial solution of a system of linear differential equations with periodic coefficients, Prikl. Mat. Meh. 18 (1954), 469-510; English transl., Amer. Math. Soc. Transl. (2) 1 (1955), 189-237. MR 16, 249; 17, 484. MR 0073774 (17:484c)

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DOI: https://doi.org/10.1090/S0002-9939-1975-0407399-6
Article copyright: © Copyright 1975 American Mathematical Society

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