In this article, we first verify the global well-posedness of the second order lattice systems
with varying coefficients. Then we prove that the solution mappings form a continuous …

We consider non-autonomous nonlinear Schrödinger equation with homogeneous Dirichlet
boundary conditions in a bounded smooth domain and time-dependent forcing that models …

In this paper, we systematically study the high-order stability of the stochastic reaction-
diffusion equation driven by additive noise as the noise intensity vanishes. First, with a …

In this paper, we investigate the continuity of the attractors in time-dependent phase
spaces.(i) We establish two abstract criteria on the upper semicontinuity and the residual …

We present a comprehensive investigation of the long-term dynamics generated by a
semilinear wave equation with time-dependent coefficients and quintic nonlinearity on a …