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带有时滞项的超三次弱阻尼波方程一致吸引子的存在性

Zhu Kaixuan,Xie Yongqin,Mei Xinyu,Deng Xijun

Acta Mathematica Scientia（2022）

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Abstract
该文考虑带有时滞项的弱阻尼波方程一致吸引子的存在性,其中非线性项的增长次数大于3而小于5.通过构造能量泛函并结合收缩函数方法得到过程Ug(t,7τ),g∈H-(g0)在CH10(Ω)×CL2(Ω)中一致吸引子的存在性.
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