Periodic Solutions of Certain Abstract Wave Equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1995Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 123, page 465 (issn: 0002-9939,

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Authors: Fečkan, Michal;

doi: 10.2307/2160903 , 10.1090/s0002-9939-1995-1234625-9

Periodic Solutions of Certain Abstract Wave Equations

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Abstract

Summary: 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.

Keywords

resonance, Perturbations in context of PDEs, Convergence and divergence of continued fractions, problem of small divisors, Second-order nonlinear hyperbolic equations, Periodic solutions to PDEs

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