کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419206 1339379 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A random attractor for a stochastic second order lattice system with random coupled coefficients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A random attractor for a stochastic second order lattice system with random coupled coefficients
چکیده انگلیسی

In this paper, we mainly focus on the asymptotic behavior of solutions to the second-order stochastic lattice equations with random coupled coefficients and multiplicative white noises in weighted spaces of infinite sequences. We first transfer stochastic lattice equations into random lattice equations and prove the existence and uniqueness of solutions which generate a random dynamical system. Second we consider the existence of a tempered random bounded absorbing set and a random attractor for the system. Then we establish the upper semicontinuity of random attractors as the coefficient of the white noise term tends to zero. Finally we present the corresponding results for the system with additive white noises.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 1, 1 November 2012, Pages 42-55
نویسندگان
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