| Title:
|
A note to a bifurcation result of H. Kielhöfer for the wave equation (English) |
| Author:
|
Vejvoda, Otto |
| Author:
|
Krejčí, Pavel |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
245-247 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Diophantine approximations |
| Keyword:
|
wave equation |
| Keyword:
|
periodic solution |
| Keyword:
|
bifurcation |
| MSC:
|
11J25 |
| MSC:
|
35B10 |
| MSC:
|
35B32 |
| MSC:
|
35L70 |
| idZBL:
|
Zbl 0773.35008 |
| idMR:
|
MR1126446 |
| DOI:
|
10.21136/MB.1991.126179 |
| . |
| Date available:
|
2009-09-24T20:45:23Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126179 |
| . |
| Reference:
|
[1] H. Kielhöfer: Bifurcation of periodic solution for a semilinear wave equation.J. Math. Anal. Appl. 68 (1979), 408-420. 10.1016/0022-247X(79)90125-2 |
| Reference:
|
[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. 10.1007/BF00945406 |
| Reference:
|
[3] J. W. S. Cassels: An introduction to Diophantine approximation.Cambridge University Press no. 45, Cambridge, 1957. Zbl 0077.04801, MR 0087708 |
| . |
