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BAI Xue, LI Xiaoyan, XU Ling. The existence of pullback $ \mathcal{D} - $attractors for a non-autonomous Kirchhoff-type plate equation[J]. Journal of Yunnan University: Natural Sciences Edition. DOI: 10.7540/j.ynu.20230097
Citation: BAI Xue, LI Xiaoyan, XU Ling. The existence of pullback $ \mathcal{D} - $attractors for a non-autonomous Kirchhoff-type plate equation[J]. Journal of Yunnan University: Natural Sciences Edition. DOI: 10.7540/j.ynu.20230097
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The existence of pullback \mathcalD - attractors for a non-autonomous Kirchhoff-type plate equation

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  • We try to study the pullback \mathcalD - attractors for the non-autonomous Kirchhoff-type plate equation with linear memory and structural damping. Consequently, we introduce a new variable \eta , and prove the pullback absorption set and asymptotic compactness by combining the prior estimate with the contraction function. Ultimately, we obtain the existence of the pullback \mathcalD - attractors.
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