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Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations

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 نشر من قبل Bixiang Wang
 تاريخ النشر 2014
  مجال البحث
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 تأليف Bixiang Wang




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By the Lyapunov-Perron method,we prove the existence of random inertial manifolds for a class of equations driven simultaneously by non-autonomous deterministic and stochastic forcing. These invariant manifolds contain tempered pullback random attractors if such attractors exist. We also prove pathwise periodicity and almost periodicity of inertial manifolds when non-autonomous deterministic forcing is periodic and almost periodic in time, respectively.

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