In this survey paper, we discuss the decay properties of the semigroup generated by a linear
integro-differential equation in a Hilbert space, which is an abstract version of the equation tt …

Linear systems of Timoshenko type equations for beams including a memory term are
studied. The exponential decay is proved for exponential kernels, while polynomial kernels …

We study a temporally third order (Moore–Gibson–Thompson) equation with a memory term.
Previously it was known that, in non-critical regime, the global solutions exist and the energy …

In this paper, we consider the viscoelastic wave equation with a delay term in internal
feedbacks; namely, we investigate the following problem u_ tt (x, t)-Δ u (x, t)+ ∫ 0^ tg (ts) Δ u …

The linear viscoelastic equation is considered. We prove uniform decay rates of the energy
by assuming a nonlinear feedback acting on the boundary, without imposing any restrictive …

We are interested in the Moore–Gibson–Thompson equation with memory τ u _ ttt+ α u_ tt+
c^ 2 A u+ b A u_t-\int_0^ tg (ts) A w (s) ds= 0. τ uttt+ α utt+ c 2 A u+ b A ut-∫ 0 tg (ts) A w (s) …

In this paper we consider a viscoelastic abstract wave equation with memory kernel
satisfying the inequality g′+ H (g)⩽ 0, s⩾ 0 where H (s) is a given continuous, positive …

We address the study of the asymptotic behavior of solutions to an abstract
integrodifferential equation modeling linear viscoelasticity. Framing the equation in the past …

Wave equation defined on a compact Riemannian manifold (M, g) subject to a combination
of locally distributed viscoelastic and frictional dissipations is discussed. The viscoelastic …