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Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

open access: yesJournal of Function Spaces, 2021
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   +2 more sources

Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term [PDF]

open access: yesBoundary Value Problems, 2020
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   +3 more sources

Polynomial stability of the wave equation with distributed delay term on the dynamical control [PDF]

open access: yesNonautonomous Dynamical Systems, 2021
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   +2 more sources

Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

open access: yesOpen Mathematics, 2023
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   +3 more sources

Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term [PDF]

open access: yesJournal of Function Spaces, 2021
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   +2 more sources

Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay

open access: yesAbstract and Applied Analysis, 2013
The stability problem is investigated for a class of uncertain networks of neutral type with leakage, time-varying discrete, and distributed delays. Both the parameter uncertainty and the generalized activation functions are considered in this paper. New
Qi Zhou   +3 more
doaj   +3 more sources

Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay

open access: yesMathematics, 2023
The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study.
Abdelbaki Choucha   +4 more
doaj   +1 more source

Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping

open access: yesBoundary Value Problems, 2021
A nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Abdelbaki Choucha, Salah Boulaaras
doaj   +1 more source

General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

open access: yesOpen Mathematics, 2021
A nonlinear viscoelastic wave equation with Balakrishnan-Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Choucha Abdelbaki   +2 more
doaj   +1 more source

Long-Term Clock Synchronization in wireless sensor networks with arbitrary delay distributions [PDF]

open access: yes2012 IEEE Global Communications Conference (GLOBECOM), 2012
Clock synchronization is a crucial issue in the operation of wireless sensor networks. Although the existing synchronization algorithms under linear clock model assumptions perform well for short periods, they will become problematic for applications with long-term requirements.
null Wanlu Sun   +3 more
openaire   +1 more source

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