Almost periodic solutions of second order nonlinear differential equations with almost periodic forcing
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- by C. E. Langenhop and G. Seifert
- Proc. Amer. Math. Soc. 10 (1959), 425-432
- DOI: https://doi.org/10.1090/S0002-9939-1959-0104872-6
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References
- Luigi Amerio, Soluzioni quasi-periodiche, o limitate, di sistemi diferenziali non lineari quasi-periodici, o limitati, Ann. Mat. Pura Appl. (4) 39 (1955), 97–119 (Italian). MR 79687, DOI 10.1007/BF02410765
- G. I. Biryuk, On the existence of almost periodic solutions of nonlinear systems with a small parameter in the case of degeneration, Doklady Akad. Nauk SSSR (N.S.) 97 (1954), 577–579 (Russian). MR 0064239
- Juan Jorge Schäffer, Analytische Parameterabhängigkeit der fastperiodischen Lösungen von nichtlinearen Differentialgleichungen, Rend. Circ. Mat. Palermo (2) 5 (1956), 204–236 (German). MR 82594, DOI 10.1007/BF02854356
- G. E. H. Reuter, On certain non-linear differential equations with almost periodic solutions, J. London Math. Soc. 26 (1951), 215–221. MR 43296, DOI 10.1112/jlms/s1-26.3.215
- W. S. Loud, Boundedness and convergence of solutions of $x''+cx’+g(x)=e(t)$, Duke Math. J. 24 (1957), 63–72. MR 85415
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 425-432
- MSC: Primary 34.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0104872-6
- MathSciNet review: 0104872