Uniform attractor for the partly dissipative nonautonomous lattice systems.
Uniform exponential stability of linear periodic systems in a Banach space.
Uniform stabilization of some damped second order evolution equations with vanishing short memory
We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect to the calibration...
Upper semicontinuity of random attractors for non-compact random dynamical systems.
Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems.