# Article

Full entry | PDF   (0.8 MB)
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