Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case

Vejvoda, Otto. "Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case." Aplikace matematiky 14.2 (1969): 160-167. <http://eudml.org/doc/14587>.

@article{Vejvoda1969,
abstract = {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 $t$.},
author = {Vejvoda, Otto},
journal = {Aplikace matematiky},
keywords = {partial differential equations},
language = {eng},
number = {2},
pages = {160-167},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case},
url = {http://eudml.org/doc/14587},
volume = {14},
year = {1969},
}

TY - JOUR
AU - Vejvoda, Otto
TI - Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case
JO - Aplikace matematiky
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 2
SP - 160
EP - 167
AB - 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 $t$.
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/14587
ER -