Solà-Morales, Analysis of a viscoelastic spring–mass model

In this paper we consider a linear wave equation with strong damping and dynamical boundary conditions as an alternative model for the classical spring-mass-damper ODE. Our purpose is to compare analytically these two approaches to the same physical system. We take a functional analysis point of view based on semigroup theory, spectral perturbation analysis and dominant eigenvalues. Key words: strongly damped wave equation, dynamical boundary conditions, asymptotic behavior, dominant eigenvalues.