Global existence and energy decay of solutions to a viscoelastic wave equation with a delay term in the non-linear internal feedback

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2014.067080 ◽

2014 ◽

Vol 5 (1) ◽

pp. 1 ◽

Author(s):

Abbes Benaissa ◽

Aissa Benguessoum ◽

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Internal Feedback ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave ◽

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Global existence and energy decay of solutions to a nonlinear wave equation with a delay term

Georgian Mathematical Journal ◽

10.1515/gmj-2013-0006 ◽

2013 ◽

Vol 20 (1) ◽

pp. 1-24 ◽

Author(s):

Abbes Benaissa ◽

Naima Louhibi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Energy Decay ◽

Decay Of Solutions

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General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback

Journal of Mathematical Physics ◽

10.1063/1.4799929 ◽

2013 ◽

Vol 54 (4) ◽

pp. 043504 ◽

Author(s):

Wenjun Liu

Keyword(s):

Wave Equation ◽

General Decay ◽

Time Varying ◽

Internal Feedback ◽

Time Varying Delay ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

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Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

Journal of Mathematical Physics ◽

10.1063/5.0012614 ◽

2020 ◽

Vol 61 (7) ◽

pp. 071503

Author(s):

Jiali Yu ◽

Yadong Shang ◽

Huafei Di

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Terms ◽

Boundary Damping ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave ◽

Damping And Source Terms

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Global existence and energy decay of solutions for the wave equation with a time varying delay term in the weakly nonlinear internal feedbacks

Journal of Mathematical Physics ◽

10.1063/1.4765046 ◽

2012 ◽

Vol 53 (12) ◽

pp. 123514 ◽

Author(s):

Abbes Benaissa ◽

Abdelkader Benaissa ◽

Salim. A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Time Varying ◽

Weakly Nonlinear ◽

Time Varying Delay ◽

Decay Of Solutions ◽

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Exponential growth of solution with \(L_{p}\) -norm for class of non-linear viscoelastic wave equation with distributed delay term for large initial data

Open Journal of Mathematical Analysis ◽

10.30538/psrp-oma2020.0054 ◽

2020 ◽

Vol 4 (1) ◽

pp. 76-83

Author(s):

Abdelbaki Choucha ◽

◽

Djamel Ouchenane ◽

Khaled Zennir ◽

◽

...

Keyword(s):

Wave Equation ◽

Initial Data ◽

Exponential Growth ◽

Distributed Delay ◽

Large Initial Data ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Linear Viscoelastic

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Energy decay of solutions for a variable-coefficient viscoelastic wave equation with a weak nonlinear dissipation

Journal of Mathematical Physics ◽

10.1063/1.4941038 ◽

2016 ◽

Vol 57 (2) ◽

pp. 021509 ◽

Author(s):

Xiaomin Cao

Keyword(s):

Wave Equation ◽

Variable Coefficient ◽

Energy Decay ◽

Nonlinear Dissipation ◽

Viscoelastic Wave Equation ◽

Decay Of Solutions ◽

Viscoelastic Wave

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Global Existence and Energy Decay of Solutions for a Nondissipative Wave Equation with a Time-Varying Delay Term

Progress in Partial Differential Equations - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-00125-8_1 ◽

2013 ◽

pp. 1-26 ◽

Author(s):

Abbes Benaissa ◽

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Time Varying ◽

Time Varying Delay ◽

Decay Of Solutions ◽

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Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions

Advances in Nonlinear Analysis ◽

10.1515/anona-2012-0027 ◽

2013 ◽

Vol 0 (0) ◽

Author(s):

Stéphane Gerbi ◽

Belkacem Said-Houari

Keyword(s):

Wave Equation ◽

Global Existence ◽

Boundary Conditions ◽

Exponential Growth ◽

Dynamic Boundary Conditions ◽

Viscoelastic Wave Equation ◽

Dynamic Boundary ◽

Viscoelastic Wave

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Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term

Mathematische Nachrichten ◽

10.1002/mana.201500169 ◽

2016 ◽

Vol 289 (11-12) ◽

pp. 1408-1432 ◽

Author(s):

Huafei Di ◽

Yadong Shang ◽

Xiaoming Peng

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Source Term ◽

Viscoelastic Wave Equation ◽

Boundary Source ◽

Existence And Nonexistence ◽

Viscoelastic Wave ◽

Nonexistence Of Solutions

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Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.12.039 ◽

2016 ◽

Vol 71 (3) ◽

pp. 779-804 ◽

Author(s):

Mohamed Ferhat ◽

Ali Hakem

Keyword(s):

Global Existence ◽

Wave Equations ◽

Energy Decay ◽

Dynamic Boundary ◽

Viscoelastic Wave ◽

Nonlinear Delay

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