Pullback attractors for multi-valued non-compact random dynamical systems generated by semi-linear degenerate parabolic equations with unbounded delays

Pullback attractors for multi-valued non-compact random dynamical systems generated by semi-linear degenerate parabolic equations with unbounded delays
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由具有无界延迟的半线性简并抛物线方程生成的多值非紧随机动力系统的回拉吸引子

DOI:
10.1142/s0219493717500010
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发表时间:
2016-07
影响因子:
1.1
通讯作者:
Zhao Dun
Zhao Dun
中科院分区:
数学4区
文献类型:
--
作者:
Wang Jingyu;Wang Yejuan;Zhao Dun

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利用多值非紧随机动力系统的拉回吸引子理论和基于有界集的非紧性的Kuratowski测度的渐近紧性方法,证明了与具有确定性和随机性两种外部项的半线性退化抛物无界时滞方程相关联的多值非紧随机动力系统的拉回吸引子的存在性.
The theory of pullback attractors for multi-valued non-compact random dynamical systems and a method of asymptotic compactness based on the concepts of the Kuratowski measure of the non-compactness of a bounded set are used to prove the existence of pullback attractors for the multi-valued non-compact random dynamical systems associated with the semi-linear degenerate parabolic unbounded delay equations with both deterministic and random external terms.
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