Geodesic
A note to a bifurcation result of H. Kielhöfer for the wave equation
Mathematica Bohemica, Tome 116 (1991) no. 3, pp. 245-247

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MR Zbl
A modification of a classical number-theorem on Diophantine approximations is used for generalizing H. kielhöfer's result on bifurcations of nontrivial periodic solutions to nonlinear wave equations.
A modification of a classical number-theorem on Diophantine approximations is used for generalizing H. kielhöfer's result on bifurcations of nontrivial periodic solutions to nonlinear wave equations.
DOI : 10.21136/MB.1991.126179
Classification : 11J25, 35B10, 35B32, 35L70
Keywords: Diophantine approximations; wave equation; periodic solution; bifurcation 
Vejvoda, Otto; Krejčí, Pavel. A note to a bifurcation result of H. Kielhöfer for the wave equation. Mathematica Bohemica, Tome 116 (1991) no. 3, pp. 245-247. doi: 10.21136/MB.1991.126179
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[1] H. Kielhöfer: Bifurcation of periodic solution for a semilinear wave equation. J. Math. Anal. Appl. 68 (1979), 408-420. | DOI

[2] H. Kielhöfer P. Kötzner: Stable periods of a semilinear wave equation and bifurcation of periodic solutions. j. Appl. Math. Phys. (ZAMP) 38 (1987), 204-212. | DOI

[3] J. W. S. Cassels: An introduction to Diophantine approximation. Cambridge University Press no. 45, Cambridge, 1957. | MR | Zbl

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