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A note to a bifurcation result of H. Kielhöfer for the wave equation. (English) Zbl 0773.35008
Summary: A modification of a classical number-theoretical theorem on Diophantine approximations is used for generalizing Kielhöfer’s result on bifurcations of nontrivial periodic solutions to nonlinear wave equations [H. Kielhöfer, J. Math. Anal. Appl. 68, 408-420 (1979; Zbl 0411.35067), and with P. Kötzner, Z. Angew. Math. Phys. 38, 204- 212 (1987; Zbl 0629.35013)].
MSC:
35B32 Bifurcations in context of PDEs
35B10 Periodic solutions to PDEs
35L70 Second-order nonlinear hyperbolic equations
11J25 Diophantine inequalities
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