In this paper, a model of deformations of a Stieltjes string with localized interactions with the
environment (elastic supports and forces are concentrated at no more than countable set of …

The contraction semigroup S (t)= e^ t AS (t)= et A generated by the abstract linear dissipative
evolution equation ̈ u+ A u+ f (A) ̇ u= 0 u¨+ A u+ f (A) u˙= 0 is analyzed, where A is a …

In this paper, we investigate an initial boundary value problem describing oscillation process
with a hysteresis type boundary condition. The analogue of the d'Alembert formula is …

We provide a proof via direct energy estimates of the optimal exponential decay rate of the
semigroup generated by the weakly damped wave equation. One of the main issues in …

We are concerned with dynamical behaviors of solutions to nonlinear damped wave
equations with nonlinear dampings and force terms, and subject to Wentzell boundary …

In this paper, we consider a thermoelastic system with static Wentzell boundary conditions.
We show the well-posedness, using the semigroup theory, and establish an explicit decay …

The exponential decay rate of the semigroup $ S (t)= e^{t\mathbb {A}} $ generated by the
abstract damped wave equation $$\ddot u+ 2f (A)\dot u+ A u= 0$$ is here addressed, where …