# Periodic solutions of a weakly nonlinear wave equation in ${E}_{3}$ in a spherically symmetrical case

Aplikace matematiky (1969)

- Volume: 14, Issue: 2, page 160-167
- ISSN: 0862-7940

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topVejvoda, 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 -

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