Author(s)

LV Penghui, LIN Guoguang, LV Xiaojun

Corresponding Author

LIN Guoguang

Abstract

We study the existence of periodic pullback attractor for non-autonomous dynamical system generated by Sine-Gordon equation with non-autonomous term as well as memory. By a priori estimation, we obtain the global solution of the equation and the pullback absorting set of ; by constructing the contraction function, we prove the asymptotic compactness of , then the existence of pullback attractor of the corresponding non-autonomous dynamical system in is established; moreover the pullback attractor is proved to be periodic, when the non-autonomous dynamical system has a periodic deterministic forcing term.

Keywords

Sine-gordon equation, History memory, Pullback d-asymptotic compactness, Periodic pullback attractor