The main purpose of this work is to study the damping effect of memory terms associated
with singular convolution kernels on the asymptotic behavior of the solutions of second order …

Distributed-order fractional model of viscoelastic body is used to describe wave propagation
in an infinite media. Existence and uniqueness of fundamental solution to the generalized …

In this paper, we consider a viscoelastic Kirchhoff equation with Balakrishnan-Taylor
damping, dynamic boundary conditions and a timevarying delay term acting on the …

In this paper, we consider the Cauchy problem in R^ n, R n, n ≥ 1, n≥ 1, for semilinear
damped wave equations with space–time dependent potential and nonlinear memory. A …

We study the stability for a coupled system of second-order evolution equations with indirect
memory-damping, which arises from the theory of viscoelasticity and takes the Timoshenko …

In this paper, we study the long-time behaviors of wave equations subject to boundary
memory damping and friction damping. Different from assumptions that memory kernel is a …

We show, by considering a special class of nonlinear viscoelastic materials, that consistency
of a mechanical model with classical linear viscoelasticity, may be a fundamental condition …

We are concerned with the polynomial stability and the integrability of the energy for second
order integro-differential equations in Hilbert spaces with positive definite kernels, where the …

We study the generation of analytic semigroups in the L-2 topology by second order elliptic
operators in divergence form, that may degenerate at the boundary of the space domain …

This work considers the Galerkin approximation and analysis for a hyperbolic
integrodifferential equation, where the non-positive variable-sign kernel and nonlinear …