| Title:
|
Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case (English) |
| Author:
|
Vejvoda, Otto |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
14 |
| Issue:
|
2 |
| Year:
|
1969 |
| Pages:
|
160-167 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper the conditions for the existence of a $2\pi$-periodic solution in $t$ of the system $u_{tt}-u_{rr}-(2/r)u_r=\epsilon f(t,r,u,u_t,u_r)$, $\left|u(t,0)\right|<+\infty,\ u(t,\pi)=0$ are investigated provided that $f$ is sufficiently smooth and $2\pi$-periodic in $t$. (English) |
| Keyword:
|
partial differential equations |
| MSC:
|
35-12 |
| idZBL:
|
Zbl 0175.39504 |
| idMR:
|
MR0239247 |
| DOI:
|
10.21136/AM.1969.103218 |
| . |
| Date available:
|
2008-05-20T17:44:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103218 |
| . |
| Reference:
|
[1] O. Vejvoda: Periodic solutions of a linear and weakly nonlinear wave equation in one dimension, I.Czechoslovak Math. Journal, 14 (89), 1964, 341-382. MR 0174872 |
| . |
