Stability criteria for generalized Mathieu equations

Infeld, E.

doi:10.1090/qam/445072

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: 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.

E. Infeld, On the stability of solutions of a second-order differential equation, Quart. Appl. Math. 32 (1974/75), 465–467. MR 445071, DOI https://doi.org/10.1090/S0033-569X-1975-0445071-0
N. W. McLachlan, Theory and Application of Mathieu Functions, Oxford, at the Clarenden Press, 1947. MR 0021158

I. M. Rizhik, and I. S. Gradstein, Tables of integrals, Gos.-Izdat, Moscow, 1963

E. Infeld and G. Rowlands, J. Plasma Phys. 10, 293 (1973)