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
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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
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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
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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
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A Stability Result for a Timoshenko System with Infinite History and Distributed Delay Term [PDF]
Kragujevac Journal of Mathematics, 2023 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. We prove our result by using the energy method combined with some properties of convex functions.
ZINEB KHALILI, Djamel Ouchenane
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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
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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
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On a class of PDEs with nonlinear distributed in space and time state-dependent delay term [PDF]
Mathematical Methods in the Applied Sciences, 2006 AbstractA new class of nonlinear partial differential equations with distributed in space and time state‐dependent delay is investigated. We find appropriate assumptions on the kernel function which represents the state‐dependent delay and discuss advantages of this class.
Alexander V. Rezounenko
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Global existence and Asymptotic behavior for a system of wave equation in presence of distributed delay term [PDF]
, 2018 In this paper, we consider the following viscoelastic coupled wave equation with a delay term: $$ \begin{gathered} u_{tt}(x,t)-Lu(x,t)-\int_0^t g_1(t-\sigma)L u(x,\sigma)d\sigma + \mu_{1}u_{t}(x,t) + \int_{\tau_1}^{\tau_2} \mu_2(s)u_{t}(x,t-s)ds + f_1(u,\
Akram Ben Aissa +2 more
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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
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