%0 Journal Article %T 非自治FitzHugh-Nagumo系统拉回吸引子的H2\times H1_0 有界性<br>H2 \times H1_0 -Boundedness of the Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System %A 伍亚军 %A 李晓军 %J 数学年刊(A辑) %D 2017 %R 10.16205/j.cnki.cama.2017.0008 %X 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.<br>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. %K Non-autonomous system %K Pullback attractor %K Boundedness< %K br> %K Non-autonomous system %K Pullback attractor %K Boundedness %U http://www.camath.fudan.edu.cn/camacn/ch/reader/view_abstract.aspx?file_no=38A108&flag=1