| Title:
|
On periodic solutions of a special type of the beam equation (English) |
| Author:
|
Řeháček, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
33-40 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with the existence of time-periodic solutions to the beam equation, in which terms expressing torsion and damping are also considered. The existence of periodic solutions is proved in the cas of time-periodic outer forces by means of an apriori estimate and the Fourier method. (English) |
| Keyword:
|
existence |
| Keyword:
|
time-periodic solutions |
| Keyword:
|
a priori estimate |
| Keyword:
|
Fourier method |
| Keyword:
|
Brouwer’s theorem |
| Keyword:
|
truncated system |
| Keyword:
|
beam equation |
| MSC:
|
35B10 |
| MSC:
|
35B45 |
| MSC:
|
35G20 |
| MSC:
|
73K12 |
| MSC:
|
74H45 |
| idZBL:
|
Zbl 0665.35015 |
| idMR:
|
MR0934372 |
| DOI:
|
10.21136/AM.1988.104284 |
| . |
| Date available:
|
2008-05-20T18:33:46Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104284 |
| . |
| Reference:
|
[1] N. G. de Andrade: On a nonlinear Systems of Partial Differential Equations.Journal of Math. Anal. and Appl. 91 (1983), 119-130. MR 0688537, 10.1016/0022-247X(83)90097-5 |
| Reference:
|
[2] J. M. Ball: Initial Boundary Value Problems for an Extensible Beam.Journal of Math. Anal. and Appl. 42(1973), 61-90. Zbl 0254.73042, MR 0319440 |
| Reference:
|
[3] J. Kurzweil: Ordinary Differential Equations.Elsevier, Amsterdam, 1986. Zbl 0667.34002, MR 0929466 |
| Reference:
|
[4] S. P. Timošenko D. H. Young W. Weaver: Vibrations Problems in Engineering.New York 1974. |
| . |
