Polynomial stability of the wave equation with distributed delay term on the dynamical control [PDF]
Nonautonomous 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 +4 more sources
Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term [PDF]
Boundary 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 +5 more sources
Open Mathematics, 2021 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 +4 more sources
Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term [PDF]
Journal 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 +3 more sources
Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term [PDF]
Journal 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 +3 more sources
Stability Analysis for Uncertain Neural Networks of Neutral Type with Time-Varying Delay in the Leakage Term and Distributed Delay [PDF]
Abstract 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 +4 more sources
General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term
Tamkang Journal of Mathematics, 2021 As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.
Abdelbaki Choucha +2 more
semanticscholar +5 more sources
EXPONENTIAL DECAY OF THERMO-ELASTIC BRESSE SYSTEM WITH DISTRIBUTED DELAY TERM
Hacettepe Journal of Mathematics and Statistics, 2017 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.
Salah Zitouni +3 more
semanticscholar +4 more sources
Communications in Nonlinear Science and Numerical SimulationA system with, generally, unbounded and non-continuous delays is considered as a perturbation of a linear non-delay system. Boundedness of solutions, stability, global asymptotic stability, uniform exponential stability are established with a variety of methods, including designing a Lyapunov–Krasovskii functional and integral transformations.
Elena Braverman +2 more
semanticscholar +4 more sources
Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term [PDF]
Open 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 +2 more sources