A note to a bifurcation result of H. Kielhöfer for the wave equation

Otto Vejvoda; Pavel Krejčí

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 3, page 245-247
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Vejvoda, Otto, and Krejčí, Pavel. "A note to a bifurcation result of H. Kielhöfer for the wave equation." Mathematica Bohemica 116.3 (1991): 245-247. <http://eudml.org/doc/29333>.

@article{Vejvoda1991,
abstract = {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.},
author = {Vejvoda, Otto, Krejčí, Pavel},
journal = {Mathematica Bohemica},
keywords = {Diophantine approximations; wave equation; periodic solution; bifurcation; Diophantine approximations},
language = {eng},
number = {3},
pages = {245-247},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note to a bifurcation result of H. Kielhöfer for the wave equation},
url = {http://eudml.org/doc/29333},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Vejvoda, Otto
AU - Krejčí, Pavel
TI - A note to a bifurcation result of H. Kielhöfer for the wave equation
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 3
SP - 245
EP - 247
AB - 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.
LA - eng
KW - Diophantine approximations; wave equation; periodic solution; bifurcation; Diophantine approximations
UR - http://eudml.org/doc/29333
ER -

References

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  1. H. Kielhöfer, 10.1016/0022-247X(79)90125-2, J. Math. Anal. Appl. 68 (1979), 408-420. (1979) DOI10.1016/0022-247X(79)90125-2
  2. H. Kielhöfer P. Kötzner, 10.1007/BF00945406, j. Appl. Math. Phys. (ZAMP) 38 (1987), 204-212. (1987) DOI10.1007/BF00945406
  3. J. W. S. Cassels, An introduction to Diophantine approximation, Cambridge University Press no. 45, Cambridge, 1957. (1957) Zbl0077.04801MR0087708

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