Hausdorff sub-norm spaces and continuity of random attractors for bi-stochastic g-Navier–Stokes equations with respect to tempered forces

Y Li, S Yang - Journal of Dynamics and Differential Equations, 2023 - Springer
We study the continuity of pullback random attractors A λ, where the parameter belongs to a
complete metric space Λ. By a Hausdorff sub-norm space, we mean the collection of all …

Higher-order continuity of pullback random attractors for random quasilinear equations with nonlinear colored noise

Y Li, F Wang, T Caraballo - Journal of Dynamics and Differential Equations, 2024 - Springer
For a nonautonomous random dynamical system, we introduce a concept of a pullback
random bi-spatial attractor (PRBA). We prove an existence theorem of a PRBA, which …

Cardinality and IOD-type continuity of pullback attractors for random nonlocal equations on unbounded domains

Y Li, T Caraballo, F Wang - Mathematische Annalen, 2024 - Springer
We study the continuity set (the set of all continuous points) of pullback random attractors
from a parametric space into the space of all compact subsets of the state space with …

Impulsive evolution processes: abstract results and an application to a coupled wave equations

EM Bonotto, MJD Nascimento… - Advances in Differential …, 2023 - projecteuclid.org
The aim of this paper is to study the long-time behavior of impulsive evolution processes. We
obtain qualitative properties for impulsive evolution processes, and we prove an existence …

Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes.

MC Bortolan, JM Uzal - Discrete & Continuous Dynamical …, 2021 - search.ebscohost.com
In this paper, following the work done in [11], we deal with the upper and weak-lower
semicontinuity of pullback attractors for impulsive evolution processes. We first deal with the …

Non-autonomous Klein-Gordon-Zakharov system: pullback dynamics in the continuous and impulsive approaches

EB Santiago - 2020 - repositorio.ufscar.br
This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov
system, which is a coupled system consisting of two non-autonomous evolution equations …

[引用][C] Dynamical behaviors of an impulsive stochastic neural field lattice model

T Zeng, S Mi, D Li - Stochastics and Dynamics, 2024 - World Scientific
This paper is concerned with the asymptotic behaviors of the solutions of an impulsive
stochastic neural field lattice model driven by nonlinear noise. We first show the existence …