非自治FitzHugh-Nagumo系统拉回吸引子的H2\times H1_0 有界性
H2 \times H1_0 -Boundedness of the Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System

研究带奇异扰动非自治~FitzHugh-Nagumo系统拉回吸引子的 $H^{2}\times H^{1}_{0}$ 有界性. 为此, 首先建立关于过程有界不变集的 $H^{2}\times H^{1}_{0}$ 有界性, 从而得到原系统拉回吸引子的有界性结果.
In this paper, the authors study $ H^{2} \times H^{1}_{0} $-boundedness for the pullback attractors of the non-autonomous FitzHugh-Nagumo system with singular perturbation. First $H^{2} \times H^{1}_{0} $-boundedness of invariant sets for the evolution process is established. Then the boundedness for the pullback attractors of the original system is obtained.