Korean J. Math. Vol. 26 No. 4 (2018) pp.583-599
DOI: https://doi.org/10.11568/kjm.2018.26.4.583

Existence of random attractors for stochastic non-autonomous reaction-diffusion equation with multiplicative noise on $\mathbb{R}^{n}$

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Published: Dec 30, 2018
Keywords:
Random attractors, Stochastic non-autonomous reaction-diffusion equation, Random dynamical system.
Mathematics Subject Classification:
35B40, 35B41, 35B45.

Main Article Content

Fadlallah Mustafa Mosa
1. College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China 2. Department of Mathematics and physics, Faculty of Education University of Kassala Kassala, Sudan
Qiaozhen Ma
College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China
Mohamed Y. A. Bakhet
1. College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China 2. Department of Mathematics, College of Education Rumbek University of Science and Technology Rumbek, South Sudan

Abstract

In this paper, we are concerned with the existence of random dynamics for stochastic non-autonomous reaction-diffusion equations driven by a Wiener-type multiplicative noise defined on the unbounded domains.


Article Details

Supporting Agencies

This work was partly supported by the NSFC (11561064) and partly supported by NWNU-LKQN-14-6.

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