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

Existence and stability of periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces