The aim of this paper is to give an overview of results related to nonlinear wave equations
during the last half century. In this regard, we present results concerning existence, decay …

In this paper we consider linear porous-thermoelasticity systems, in a bounded domain,
where the memory-type damping is acting on a part of the boundary. We establish a general …

In this paper we consider a wave equation with a viscoelastic boundary damping localized
on a part of the boundary. We establish an explicit and general decay rate result that allows …

In this paper, a piezoelectric beam is investigated under fully‐dynamic magnetic effects and
long‐range dielectric and strain memories. The mathematical model under consideration is …

In this paper, we study the existence and general energy decay rate of global solutions for
nondissipative distributed systems u''-\triangle u+ h (∇ u)= 0 u′′-▵ u+ h (∇ u)= 0 with …

In this paper, we study the stabilization of solutions of an axially moving string of kirchhoff
type by a viscoelastic boundary control. We prove that the dissipation produced by the …

In this paper, we study the modelling and nonlinear boundary stabilization problem of the
modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial …

We study the nonlinear viscoelastic wave equation u_ tt-k_ 0 Δ u+ 0^ tg (ts) div\bigr a (x) ∇ u
(s)\bigr ds+\bigr (k_ 1+ b (x)| u_ t|^ m-2\bigr) u_ t=| u|^ p-2 u with dissipative boundary …

In this article we consider an n-dimensional system of visco-thermoelasticity with second
sound, where a viscoelastic dissipation is acting on a part of the boundary. We prove an …

A linear viscoelastic wave equation with density and time delay in the whole space ℝ𝑛 (𝑛≥
3) is considered. In order to overcome the dificulties in the non-compactness of some …