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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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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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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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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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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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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Exponential stability of Lord Shulman thermoelastic system with porous damping and distributed delay term [PDF]
Asian-European Journal of Mathematics, 2023 In this paper, we consider a one-dimensional Lord–Shulman thermoelastic system [C. Cattaneo, On a form of heat equation which eliminates the paradox of instantaneous propagation, C. R. Acad. Sci. Paris 247 (1958) 431–433] with porous damping and distributed delay term acting on the porous equation.
Lamine Bouzettouta +3 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
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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Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term [PDF]
Mathematical Problems in Engineering, 2014 A class of predator‐prey system with distributed delays and competition term is considered. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the predator‐prey system. According to the theorem of Hopf bifurcation, some sufficient conditions are obtained for the local stability of the positive ...
Lvzhou Zheng
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