ABSTRACT
In this paper, we will establish the existence of the bounded solutions, periodic solutions, quasi-periodic solutions and almost periodic solutions for the derivative Ginzburg–Landau equation with time-dependent boundary external forces. A smoothing effect for the semigroup associated with linear Ginzburg–Landau operator is the crucial tool in establishing the main results.
Acknowledgements
I would like to thank the referees and the editor for their careful comments and useful suggestions. I sincerely thank my PhD supervisor professor Yong Li for many useful suggestions and help.
Notes
No potential conflict of interest was reported by the author.