In this paper, we consider a second-order abstract linear equation with infinite memory and
time delay terms. Under appropriate assumptions on the convolution kernel and on the …

In this paper, we consider initial-boundary value problem of viscoelastic wave equation with
a delay term in the interior feedback. Namely, we study the following equation u_ tt (x, t)-Δ u …

In this paper, a class of nonlinear viscoelastic Kirchhoff equation in a bounded domain with
a time-varying delay in the weakly nonlinear internal feedback is considered, where the …

In this article we consider one-dimensional linear thermoelastic system of Timoshenko type
with linear frictional dam** and a distributed delay acting on the displacement equation …

In this paper, we consider a one-dimensional linear thermoelastic system of Timoshenko
type with a delay, where the heat flux is given by Cattaneo's law. We prove an exponential …

The Lamé system is a classical model for isotropic elasticity and has important applications
in seismology. In the present paper, we study the longtime dynamics of weakly damped …

It is well known that inequalities are a very important tool in classical analysis. One
application of these inequalities is the theory of PDEs (Partial Differential Equations). To our …

The following viscoelastic wave equation with a delay term in internal feedback: | u_ t\right |^
ρ u_ tt-Δ u-Δ u_ tt+ 0^ tg (ts) Δ u (s) ds+ μ _ 1 u_ t (x, t)+ μ _ 2 u_ t (x, t-τ)= 0, is considered in …

In this paper, we consider initial-boundary value problem of Euler–Bernoulli viscoelastic
equation with a delay term in the internal feedbacks. Namely, we study the following …

In this paper we consider a viscoelastic wave equation with a time-varying delay term, the
coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov …