In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic
Abdelbaki Choucha +4 more
doaj +3 more sources
Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term
The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.
Choucha Abdelbaki +2 more
doaj +4 more sources
Polynomial stability of the wave equation with distributed delay term on the dynamical control [PDF]
Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
doaj +3 more sources
Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term [PDF]
In this paper, we prove the global existence and exponential energy decay results of a coupled Lamé system with distributed time delay, nonlinear source term, and without memory term by using the Faedo–Galerkin method.
Salah Boulaaras, Nadjat Doudi
doaj +4 more sources
Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term [PDF]
In this current work, we are interested in a system of two singular one-dimensional nonlinear equations with a viscoelastic, general source and distributed delay terms.
Abdelbaki Choucha +3 more
doaj +3 more sources
A Stability Result for a Timoshenko System with Infinite History and Distributed Delay Term
This manuscript is mainly focusing on a general stability of solution for one-dimensional Timoshenko system with infinite history and distributed delay term regardless also of the speeds of wave propagation.
Zineb Khalili, D. Ouchenane
semanticscholar +3 more sources
This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader +4 more
doaj +2 more sources
Polynomial stability of a transmission problem with second sound and distributed delay term
Summary: In this work, we consider a transmission problem for an elastic-thermoelastic bar with the elastic part being surrounded by two thermoelastic parts in the presence of an infinite distributed delay term. The heat flux of the system is governed by Cattaneo's law.
Douib, Madani +2 more
semanticscholar +2 more sources
Well-posedness and exponential decay for a laminated beam with distributed delay term
"In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier's law efective in the rotation angle ...
M. Douib, S. Zitouni, A. Djebabla
semanticscholar +2 more sources
Exponential decay of thermo-elastic Bresse system with distributed delay term
Summary: The paper considered here is one-dimensional linear thermo-elastic Bresse system with a distributed delay term in the first equation. We prove the well-posedness and exponential stability result, this later will be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semi-group method.
S. Zitouni +3 more
semanticscholar +4 more sources

