  We prove the existence of time periodic solution to the 3D Ginzburg-Landau
equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau
equation with an external force $g$ satisfying the oddness condition
$g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small
time-periodic external force. The stability of the time periodic solution is
also considered.

Analysis of PDEs