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:

03736725 
Volume:

14 
Issue:

2 
Year:

1969 
Pages:

160167 
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 $u_{tt}u_{rr}(2/r)u_r=\epsilon f(t,r,u,u_t,u_r)$, $\leftu(t,0)\right<+\infty,\ u(t,\pi)=0$ are investigated provided that $f$ is sufficiently smooth and $2\pi$periodic in $t$. (English) 
Keyword:

partial differential equations 
MSC:

3512 
idZBL:

Zbl 0175.39504 
idMR:

MR0239247 
. 
Date available:

20080520T17:44:50Z 
Last updated:

20150814 
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, 341382. MR 0174872 
. 