In this article we study the hyperbolic problem & u_ tt-Δ u+ F (x, t, u, ∇ u)= 0\quad in\quad Ω
*\mathbb R _+,\& u= 0 on\Gamma_0,\quad u+\int_0^ tg (ts) ∂ u ∂ ν (s) ds= 0 on\Gamma_1 …

In this paper, we study the stability of solutions for semilinear wave equations whose
boundary condition includes an integral that represents the memory effect. We show that the …

In this paper, we study the stability of solutions for wave equations whose boundary
condition includes a integral that represents the memory effect. We show that the dissipation …

Exponential stability for a plate equation with p-Laplacian and memory terms Page 1 Research
Article Received 27 April 2011 Published online in Wiley Online Library (wileyonlinelibrary.com) …

In this paper we consider a semilinear wave equation, in a bounded domain, where the
memory-type damping is acting on a part of the boundary. We establish a general decay …

In this article we study the degenerate system (ρ1, ρ2⩾ 0) subject to memory conditions on
the boundary given by [Formula: see text][Formula: see text][Formula: see text][Formula: see …

Some linear evolution problems arising in the theory of hereditary electromagnetism are
considered here. Making use of suitable Liapunov functionals, existence of solutions as well …

We consider a Timoshenko system with memory condition at the boundary and we study the
asymptotic behavior of the corresponding solutions. We prove that the energy decay with the …

We consider the stabilization of the wave equation with space variable coefficients in a
bounded region with a smooth boundary, subject to Dirichlet boundary conditions on one …

The present study investigates the mechanical behavior of high-pressure pipelines installed
through horizontal directional drilling (HDD), a crucial trenchless installation method, under …