Geodesic
Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case
Applications of Mathematics, Tome 14 (1969) no. 2, pp. 160-167.

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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 $t$.
DOI : 10.21136/AM.1969.103218
Classification : 35-12
Keywords: partial differential equations 
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     title = {Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case},
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Vejvoda, Otto. Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case. Applications of Mathematics, Tome 14 (1969) no. 2, pp. 160-167. doi : 10.21136/AM.1969.103218. http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103218/

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