| Title:
|
On periodic solutions of some equations of mathematical physics (English) |
| Author:
|
Kopáčková, Marie |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
1973 |
| Pages:
|
33-42 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some linear and weakly nonlinear partial differential equations with Dirichlet boundary conditions are treated. The necessary and sufficient conditions for the existence and uniqueness of a periodic solution are given and several examples from classical physics are included. () |
| MSC:
|
35B10 |
| MSC:
|
35G30 |
| MSC:
|
35L35 |
| MSC:
|
35L99 |
| idZBL:
|
Zbl 0249.35057 |
| idMR:
|
MR0312044 |
| DOI:
|
10.21136/AM.1973.103446 |
| . |
| Date available:
|
2008-05-20T17:55:06Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103446 |
| . |
| Reference:
|
[1] O. Vejvoda: Periodic solution of a linear and weakly nonlinear wave equation in one dimension.Czech. Mat. Journ. 14 (89), 1964. Zbl 0178.45302, MR 0174872 |
| Reference:
|
[2] M. Sova: Abstract semilinear equations with small nonlinearities.CMUC, no 4, p. 685,1971. Zbl 0235.47034, MR 0291912 |
| Reference:
|
[3] N. Krylová: Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term.Czech. Mat. Journ. 20 (95), 1970. MR 0283358 |
| . |
