Periodic solutions of certain abstract wave equations

Fečkan, Michal

doi:10.1090/S0002-9939-1995-1234625-9

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ISSN 1088-6826(online) ISSN 0002-9939(print)

Periodic solutions of certain abstract wave equations

Author: Michal Fečkan
Journal: Proc. Amer. Math. Soc. 123 (1995), 465-470
MSC: Primary 35B10; Secondary 34G20, 35L70
MathSciNet review: 1234625
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Abstract: Existence results of periodic solutions of certain abstract, weakly nonlinear, wave equations are given when eigenvalues of linear parts of those equations are incommensurable to the time period.

[1] K. Ben-Naoum and J. Mawhin, The periodic-Dirichlet problem for some semilinear wave equations, J. Differential Equations 96 (1992), no. 2, 340–354. MR 1156665 (93b:35009), http://dx.doi.org/10.1016/0022-0396(92)90158-J
[2] P. J. McKenna, On solutions of a nonlinear wave question when the ratio of the period to the length of the interval is irrational, Proc. Amer. Math. Soc. 93 (1985), no. 1, 59–64. MR 766527 (86f:35017), http://dx.doi.org/10.1090/S0002-9939-1985-0766527-X
[3] Herbert Gajewski, Konrad Gröger, and Klaus Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974 (German). Mathematische Lehrbücher und Monographien, II. Abteilung, Mathematische Monographien, Band 38. MR 0636412 (58 #30524a)

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