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
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 +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 +4 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
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 +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
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
core +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 +2 more sources
AIMS MathematicsThis article investigates a Kirchhoff problem by introducing a delayed Kirchhoff plate equation with polynomial nonlinearity. For initial data with negative energy, we establish the blow-up of local solutions by employing energy methods together with ...
Louiza Dehbi +5 more
doaj +2 more sources
Electronic Research Archive, 2022 The subject of this research is a coupled system of nonlinear viscoelastic wave equations with distributed delay components, infinite memory and Balakrishnan-Taylor damping. Assume the kernels $ g_{i} :{\bf R}_{+}\rightarrow {\bf R}_{+} $ holds true the
Abdelbaki Choucha +4 more
doaj +1 more source