Well-posedness and exponential stability of an abstract evolution equation with infinite memory and time delay
A Guesmia - IMA Journal of Mathematical Control and …, 2013 - ieeexplore.ieee.org
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 …
time delay terms. Under appropriate assumptions on the convolution kernel and on the …
Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
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 …
a time-varying delay in the weakly nonlinear internal feedback is considered, where the …
Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay
C Nonato, C Raposo, B Feng - Asymptotic Analysis, 2021 - journals.sagepub.com
In this paper, we study the well-posedness and asymptotic stability to a thermoelastic
laminated beam with nonlinear weights and time-varying delay. To the best of our …
laminated beam with nonlinear weights and time-varying delay. To the best of our …
[PDF][PDF] Well-posedness and exponential stability for a linear damped Timoshenko system with second sound and internal distributed delay
TA Apalara - Electron. J. Differ. Equ, 2014 - researchgate.net
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 …
with linear frictional dam** and a distributed delay acting on the displacement equation …
An exponential stability result of a Timoshenko system with thermoelasticity with second sound and in the presence of delay
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 …
type with a delay, where the heat flux is given by Cattaneo's law. We prove an exponential …
Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback
This paper considers a one-dimensional thermoelastic Timoshenko beam system with
suspenders, general weak internal dam** with time varying coefficient, and time-varying …
suspenders, general weak internal dam** with time varying coefficient, and time-varying …
General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
W Liu - Journal of Mathematical Physics, 2013 - pubs.aip.org
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 …
coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov …
General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term
W Liu - 2013 - projecteuclid.org
In this paper we consider the weak viscoelastic equation with an internal time-varying delay
term u_ tt (x, t)-Δ u (x, t)+ α (t) 0^ tg (ts) Δ u (x, s)\rm d s+ a_ 0 u_ t (x, t)+ a_ 1 u_ t (x, t-τ (t))= 0 …
term u_ tt (x, t)-Δ u (x, t)+ α (t) 0^ tg (ts) Δ u (x, s)\rm d s+ a_ 0 u_ t (x, t)+ a_ 1 u_ t (x, t-τ (t))= 0 …
Global and exponential attractors for a nonlinear porous elastic system with delay term.
This paper is concerned with the study on the existence of attractors for a nonlinear porous
elastic system subjected to a delay-type dam** in the volume fraction equation. The study …
elastic system subjected to a delay-type dam** in the volume fraction equation. The study …
Well-posedness and exponential decay for a porous thermoelastic system with second sound and a time-varying delay term in the internal feedback
W Liu, M Chen - Continuum Mechanics and Thermodynamics, 2017 - Springer
In this paper, we study the well-posedness and exponential decay for the porous
thermoelastic system with the heat conduction given by Cattaneo's law and a time-varying …
thermoelastic system with the heat conduction given by Cattaneo's law and a time-varying …