کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625537 1631765 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space ℓρp
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space ℓρp
چکیده انگلیسی

In this article, some sufficient conditions on the regularity of random attractors are first provided for general random dynamical systems in the weighted space ℓρp(p>2) of infinite sequences. They are then used to study the asymptotic dynamics of a class of non-autonomous stochastic lattice differential equations with spatially valued additive noises. The existences of tempered random attractors for this in both spaces ℓρ2 and ℓρp are proved respectively, which implies that the obtained ℓρ2-random attractor is compact and attracting in the topology of ℓρp space. To solve this, a common embedding space of ℓρ2 and ℓρp is constructed and some new estimates are also developed here.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 291, 1 December 2016, Pages 226–243
نویسندگان
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