Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Stability criteria for generalized Mathieu equations

Author: E. Infeld
Journal: Quart. Appl. Math. 34 (1976), 301-304
MSC: Primary 34D05
DOI: https://doi.org/10.1090/qam/445072
MathSciNet review: 445072
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Abstract | References | Similar Articles | Additional Information

Abstract: A class of differential equations that generalizes Mathieu's is treated. Stability criteria for solutions are obtained. The method can be applied to a wider class of Hill equations.

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

  • [1] E. Infeld, Quart. Appl. Math. 33, 465 (1975) MR 0445071
  • [2] N. W. McLachlan, Theory and application of Mathieu functions, Clarendon Press, 1947 MR 0021158
  • [3] I. M. Rizhik, and I. S. Gradstein, Tables of integrals, Gos.-Izdat, Moscow, 1963
  • [4] E. Infeld and G. Rowlands, J. Plasma Phys. 10, 293 (1973)

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DOI: https://doi.org/10.1090/qam/445072
Article copyright: © Copyright 1976 American Mathematical Society

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