Stability of an abstract-wave equation with delay and a Kelvin–Voigt damping

Asymptotic Analysis ◽

10.3233/asy-151317 ◽

2015 ◽

Vol 95 (1-2) ◽

pp. 21-38 ◽

Author(s):

Kaïs Ammari ◽

Serge Nicaise ◽

Cristina Pignotti

Keyword(s):

Wave Equation ◽

Abstract Wave Equation ◽

Equation With Delay

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Blow-Up of Solution for A Viscoelastic Wave Equation with Delay

Acta Mathematica Scientia ◽

10.1007/s10473-019-0124-7 ◽

2019 ◽

Vol 39 (1) ◽

pp. 329-338 ◽

Author(s):

Shun-Tang Wu

Keyword(s):

Wave Equation ◽

Blow Up ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Equation With Delay

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Group analysis of the one dimensional wave equation with delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125193 ◽

2020 ◽

Vol 378 ◽

pp. 125193 ◽

Author(s):

Jervin Zen Lobo ◽

Y.S. Valaulikar

Keyword(s):

Wave Equation ◽

Group Analysis ◽

One Dimensional ◽

The One ◽

Equation With Delay ◽

Dimensional Wave

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Rational energy decay rate for the wave equation with delay term on the dynamical control

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124693 ◽

2021 ◽

Vol 495 (1) ◽

pp. 124693

Author(s):

Gilbert Bayili ◽

Serge Nicaise ◽

Roland Silga

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Energy Decay Rate ◽

Dynamical Control ◽

Equation With Delay

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On elements of the Lax-Phillips scattering scheme for ρ-perturbations of an abstract wave equation

Ukrainian Mathematical Journal ◽

10.1007/bf02514201 ◽

1998 ◽

Vol 50 (12) ◽

pp. 1844-1859 ◽

Author(s):

S. A. Kuzhel’

Keyword(s):

Wave Equation ◽

Abstract Wave Equation

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Blow-up of result in a nonlinear wave equation with delay and source term

The interdisciplinary journal of Discontinuity Nonlinearity and Complexity ◽

10.5890/dnc.2021.12.012 ◽

2021 ◽

Vol 10 (4) ◽

pp. 733-741

Author(s):

Tayeb Lakroumbe ◽

Mama Abdelli ◽

Abderrahmane Beniani

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Source Term ◽

Blow Up ◽

Equation With Delay

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The stability of a wave equation with delay-dependent position

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnq026 ◽

2010 ◽

Vol 28 (1) ◽

pp. 75-95 ◽

Author(s):

Y. F. Shang ◽

G. Q. Xu

Keyword(s):

Wave Equation ◽

Dependent Position ◽

The Stability ◽

Delay Dependent ◽

Equation With Delay

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Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

Applicable Analysis ◽

10.1080/00036811.2018.1504029 ◽

2018 ◽

Vol 99 (3) ◽

pp. 530-547 ◽

Author(s):

Mohammad Kafini ◽

Salim Messaoudi

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up ◽

Local Existence ◽

Equation With Delay

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Global nonexistence of solutions for viscoelastic wave equation with delay

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5194 ◽

2018 ◽

Vol 41 (16) ◽

pp. 6834-6841 ◽

Author(s):

Jum-Ran Kang

Keyword(s):

Wave Equation ◽

Viscoelastic Wave Equation ◽

Global Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions ◽

Equation With Delay

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Stabilization of a Semilinear Wave Equation with Delay

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-10120-3 ◽

2022 ◽

Author(s):

Victor Hugo Gonzalez Martinez ◽

Talita Druziani Marchiori ◽

Alisson Younio de Souza Franco

Keyword(s):

Wave Equation ◽

Semilinear Wave Equation ◽

Equation With Delay

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Convergence to equilibrium for solutions of an abstract wave equation with general damping function

Journal of Differential Equations ◽

10.1016/j.jde.2015.10.003 ◽

2016 ◽

Vol 260 (3) ◽

pp. 2259-2274 ◽

Author(s):

Tomáš Bárta ◽

Eva Fašangová

Keyword(s):

Wave Equation ◽

Convergence To Equilibrium ◽

Damping Function ◽

Abstract Wave Equation

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