About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Vejvoda, Otto
Periodic solutions of a weakly nonlinear wave equation in $E_3$ in a spherically symmetrical case. (English). Aplikace matematiky, vol. 14 (1969), issue 2, pp. 160-167
MSC: 35-12 | MR 0239247 | Zbl 0175.39504 | DOI: 10.21136/AM.1969.103218
Keywords:
partial differential equations
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 $t$.
References:
[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
Partner of
EuDML logo