| Title:
|
Coupled string-beam equations as a model of suspension bridges (English) |
| Author:
|
Drábek, Pavel |
| Author:
|
Leinfelder, Herbert |
| Author:
|
Tajčová, Gabriela |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
97-142 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider nonlinearly coupled string-beam equations modelling time-periodic oscillations in suspension bridges. We prove the existence of a unique solution under suitable assumptions on certain parameters of the bridge. (English) |
| Keyword:
|
nonlinearly coupled string-beam equation |
| Keyword:
|
periodic oscillations |
| Keyword:
|
jumping nonlinearities |
| Keyword:
|
degree theory |
| MSC:
|
35B10 |
| MSC:
|
35Q72 |
| MSC:
|
70K30 |
| MSC:
|
73K03 |
| MSC:
|
73K05 |
| MSC:
|
74H20 |
| MSC:
|
74H25 |
| MSC:
|
74H45 |
| MSC:
|
74K10 |
| idZBL:
|
Zbl 1059.74522 |
| idMR:
|
MR1667633 |
| DOI:
|
10.1023/A:1022257304738 |
| . |
| Date available:
|
2009-09-22T18:00:17Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134408 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
