On almost periodic solutions for undamped systems with almost periodic forcing
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- by George Seifert PDF
- Proc. Amer. Math. Soc. 31 (1972), 104-108 Request permission
Abstract:
Using the method of averaging, we give sufficient conditions for the existence of an almost periodic solution of an undamped oscillatory system with almost periodic forcing, and show that these can be applied to a Duffing equation with almost periodic forcing provided the nonlinear term is sufficiently small, and the natural frequency of the linear part of the system is included in the set of Fourier exponents of the forcing function.References
- Jack K. Hale, Ordinary differential equations, Pure and Applied Mathematics, Vol. XXI, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1969. MR 0419901
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 104-108
- MSC: Primary 34.45
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285772-4
- MathSciNet review: 0285772