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Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
This paper focuses on the general decay stability of nonlinear neutral stochastic pantograph equations with Markovian switching (NSPEwMSs). Under the local Lipschitz condition and non-linear growth condition, the existence and almost sure stability with ...
Wei Mao, Liangjian Hu, Xuerong Mao
doaj   +2 more sources

General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients

open access: yesBoundary Value Problems, 2017
The vibrations of flexible structures in practice are described by nonlinear models of strings, beams, plates, and so on. This paper is concerned with longitudinal vibrations of a thermoelastic beam equation.
Baowei Feng, Haiyan Li
doaj   +2 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

General decay rate of a weakly dissipative viscoelastic equation with a general damping [PDF]

open access: yesOpuscula Mathematica, 2020
In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.
Khaleel Anaya, Salim A. Messaoudi
doaj   +1 more source

Numerical and Theoretical Stability Study of a Viscoelastic Plate Equation with Nonlinear Frictional Damping Term and a Logarithmic Source Term

open access: yesMathematical and Computational Applications, 2022
This paper is designed to explore the asymptotic behaviour of a two dimensional visco-elastic plate equation with a logarithmic nonlinearity under the influence of nonlinear frictional damping. Assuming that relaxation function g satisfies g′(t)≤−ξ(t)G(g(
Mohammad M. Al-Gharabli   +3 more
doaj   +1 more source

Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback [PDF]

open access: yesTheoretical and Applied Mechanics, 2021
In this paper, we investigate a nonlinear viscoelastic equation. By assuming time-varying delay feedback acting on the boundary, under certain assumptions on the given data, the general decay estimates for the energy are established by introducing ...
Rahmoune Abita
doaj   +1 more source

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   +1 more source

Well-Posedness and Stability Results for a Nonlinear Damped Porous–Elastic System with Infinite Memory and Distributed Delay Terms

open access: yesMathematical and Computational Applications, 2021
In the present paper, we consider an important problem from the application perspective in science and engineering, namely, one-dimensional porous–elastic systems with nonlinear damping, infinite memory and distributed delay terms.
Abdelkader Moumen   +3 more
doaj   +1 more source

The stability with general decay rate of hybrid stochastic fractional differential equations driven by Lévy noise with impulsive effects

open access: yesOpen Mathematics, 2022
In this paper, our aims are to study the stability with general decay rate of hybrid stochastic fractional differential equations driven by Lévy noise with impulsive effects.
Hou Tingting, Zhang Hui
doaj   +1 more source

Stability Results for a Weakly Dissipative Viscoelastic Equation with Variable-Exponent Nonlinearity: Theory and Numerics

open access: yesMathematical and Computational Applications, 2023
In this paper, we study the long-time behavior of a weakly dissipative viscoelastic equation with variable exponent nonlinearity of the form utt+Δ2u−∫0tg(t−s)Δu(s)ds+a|ut|n(·)−2ut−Δut=0, where n(.) is a continuous function satisfying some assumptions and
Adel M. Al-Mahdi   +3 more
doaj   +1 more source

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