Dafallah, Abdelmajid Ali and MA, Qiaozhen and Mohamed, Ahmed Eshag (2019) Random attractors for Stochastic strongly damped non-autonomous wave equations with memory and multiplicative noise. Open Journal of Mathematical Analysis, 3 (2). pp. 50-70. ISSN 26168103
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Abstract
In this paper, we study the dynamical behavior of solutions for the stochastic strongly damped wave equation with linear memory and multiplicative noise defined on R n . Firstly, we prove the existence and uniqueness of the mild solution of certain initial value for the above-mentioned equations. Secondly, we obtain the bounded absorbing set. Lastly, We investigate the existence of a random attractor for the random dynamical system associated with the equation by using tail estimates and the decomposition technique of solutions.
Item Type: | Article |
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Subjects: | Academics Guard > Mathematical Science |
Depositing User: | Unnamed user with email support@academicsguard.com |
Date Deposited: | 16 Feb 2023 11:43 |
Last Modified: | 02 May 2024 06:26 |
URI: | http://science.oadigitallibraries.com/id/eprint/147 |