Article citationsMore>>

Zhao, W. and Song, S. (2015) Dynamics of Stochastic Nonclassical Diffusion Equations on Unbounded Domains. Electronic Journal of Differential Equations, 2015, 1-22.

has been cited by the following article:

• TITLE: Random Attractors of Stochastic Non-Autonomous Nonclassical Diffusion Equations with Linear Memory on a Bounded Domain

  AUTHORS: Ahmed Eshag Mohamed, Qiaozhen Ma, Mohamed Y. A. Bakhet

  KEYWORDS: Stochastic Nonclassical Diffusion Equation, Random Attractors, Asymptotic Compactness, Linear Memory

  JOURNAL NAME: Applied Mathematics, Vol.9 No.11, November 30, 2018

  ABSTRACT: In this article, we discuss the long-time dynamical behavior of the stochastic non-autonomous nonclassical diffusion equations with linear memory and additive white noise in the weak topological space . By decomposition method of the solution, we give the necessary condition of asymptotic compactness of the solutions, and then prove the existence of random attractor, while the time-dependent forcing term only satisfies an integral condition.