On an almost periodic Mathieu equation
Author:
Jacob M. Abel
Journal:
Quart. Appl. Math. 28 (1970), 205-217
MSC:
Primary 34.45
DOI:
https://doi.org/10.1090/qam/274865
MathSciNet review:
274865
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References |
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Additional Information
A. S. Besicovitch, Almost periodic functions, Dover, New York, 1953
- N. W. McLachlan, Theory and Application of Mathieu Functions, Oxford, at the Clarenden Press, 1947. MR 0021158
- Jurgen Moser, Combination tones for Duffing’s equation, Comm. Pure Appl. Math. 18 (1965), 167–181. MR 179430, DOI https://doi.org/10.1002/cpa.3160180116
- J. Moser, On the theory of quasiperiodic motions, SIAM Rev. 8 (1966), 145–172. MR 203160, DOI https://doi.org/10.1137/1008035
P. Bohl, Sur certaines equations différentielles d’un type général utilisable méchanique, Bull. Soc. Math. France 38, 5–138 (1910)
J. Favard, Leçons sur les functions presque-périodiques, Gauthier-Villars, Paris, 1933
H. Poincaré, Les methodes nouvelles de la mécanique célèste, vol. II, Dover, New York, 1957
J. M. Abel, The stability of dynamic and elastic systems with almost periodic or nearly periodic excitation, Ph.D. thesis, University of Pennsylvania, Philadelphia, Pa., 1966
A. S. Besicovitch, Almost periodic functions, Dover, New York, 1953
N. McLachlan, Theory and application of Mathieu functions, Oxford Univ. Press, New York, 1947
J. Moser, Combination tones for Duffing’s equation, Comm. Pure Appl. Math. 18, 17–181 (1965)
J. Moser, On the theory of quasiperiodic motions, SIAM Rev., 8, April (1966)
P. Bohl, Sur certaines equations différentielles d’un type général utilisable méchanique, Bull. Soc. Math. France 38, 5–138 (1910)
J. Favard, Leçons sur les functions presque-périodiques, Gauthier-Villars, Paris, 1933
H. Poincaré, Les methodes nouvelles de la mécanique célèste, vol. II, Dover, New York, 1957
J. M. Abel, The stability of dynamic and elastic systems with almost periodic or nearly periodic excitation, Ph.D. thesis, University of Pennsylvania, Philadelphia, Pa., 1966
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Article copyright:
© Copyright 1970
American Mathematical Society
