Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The stability equation with periodic coefficients


Author: Hirsh Cohen
Journal: Quart. Appl. Math. 10 (1952), 266-270
MSC: Primary 36.0X
DOI: https://doi.org/10.1090/qam/49417
MathSciNet review: 49417
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  • [1] N. W. McLachlan, Ordinary Non-Linear Differential Equations in Engineering and Physical Sciences, Oxford, at the Clarendon Press, 1950. MR 0039135
  • [2] Hirsh G. Cohen, Synchronisation sous-harmonique dans le cas d’oscillations forcées conformes à l’équation de Van der Pol, Actes du Colloque International des Vibrations non linéaires. Ile de Porquerolles, 1951, Publ. Sci. Tech. Ministère de l’Air, no. 281, Tech. Ministère de l’Air, Paris, 1953, pp. 169–187; discussion, p. 186. MR 0058056
  • [3] J. J. Stoker, Non-linear vibrations, Interscience, New York, 1950. (see especially Appendix I).
  • [4] E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
  • [5] M. J. O. Strutt, Lamésche, Mathieusche und verwandte Funktionen in Physik und Technik, Julius Springer, Berlin, 1932.
  • [6] A. Liapounoff, Problème Général de la Stabilité du Mouvement, Annals of Mathematics Studies, no. 17, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1947 (French). MR 0021186

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DOI: https://doi.org/10.1090/qam/49417
Article copyright: © Copyright 1952 American Mathematical Society


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