# Article

 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 . Date available: 2008-05-20T17:44:50Z Last updated: 2015-08-14 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 .

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