Almost periodic solutions of second order nonlinear differential equations with almost periodic forcing
Authors:
C. E. Langenhop and G. Seifert
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
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References | Similar Articles | Additional Information
- [1] 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, https://doi.org/10.1007/BF02410765
- [2] 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
- [3] Juan Jorge Schäffer, Analytische Parameterabhängigkeit der fastperiodischen Lösungen von nichtlinearen Differentialgleichungen, Rend. Circ. Mat. Palermo (2) 5 (1956), 204–236 (German). MR 82594, https://doi.org/10.1007/BF02854356
- [4] G. E. H. Reuter, On certain non-linear differential equations with almost periodic solutions, J. London Math. Soc. 26 (1951), 215–221. MR 43296, https://doi.org/10.1112/jlms/s1-26.3.215
- [5] W. S. Loud, Boundedness and convergence of solutions of 𝑥”+𝑐𝑥’+𝑔(𝑥)=𝑒(𝑡), Duke Math. J. 24 (1957), 63–72. MR 85415
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1959-0104872-6
Article copyright:
© Copyright 1959
American Mathematical Society