Article citationsMore>>

Kloeden, P.E. and Lorenz, T. (2012) Mean-Square Random Dynamical Systems. Journal of Differential Equations, 253, 1422-1438.
https://doi.org/10.1016/j.jde.2012.05.016

has been cited by the following article:

• TITLE: Weak Pullback Attractors of Stochastic Semilinear Degenerate Equations with Memory Driven by Nonlinear Noise

  AUTHORS: Ximeng Liu

  KEYWORDS: Semilinear Degenerate Equation, Weak Pullback Mean Random Attractor, Nonlinear Noise, Memory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.11, November 10, 2025

  ABSTRACT: This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n . We primarily provide sufficient conditions for studying such problems, including the degenerate term div{ a( x )∇u } , nonlinear drift, and diffusion terms. Based on these conditions, we establish the existence of weakly compact pullback absorbing sets and further obtain the existence and uniqueness of weak D -pullback mean random attractors.