Випадковий атрактор напівлінійного стохастичного збуреного хвильового рівняння без одиничності розв’язку

• Date: 2013
• Main Authors: Iovane, G., Kapustyan, O. V., Paliichuk, L. S., Pereguda, O. V.
• Format: Article
• Language: English
• Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2013
• Online Access: https://journal.iasa.kpi.ua/article/view/57547
• Journal Title: System research and information technologies

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...