On random attractor of semilinear stochastically perturbed wave equation without uniqueness

In this paper we investigate the dynamics of solutions of the semilinear wave equation, perturbed by additive white noise, in sense of the random attractor theory. The conditions on the parameters of the problem do not guarantee uniqueness of solution of the corresponding Cauchy problem. We prove th...

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Bibliographic Details
Main Authors: G. Iovane, O. V. Kapustyan, L. S. Paliichuk, O. V. Pereguda
Format: Article
Language:Ukrainian
Published: Igor Sikorsky Kyiv Polytechnic Institute 2013-03-01
Series:Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï
Online Access:http://journal.iasa.kpi.ua/article/view/57547