General decay of solutions of quasilinear wave equation with time-varying delay in the boundary feedback and acoustic boundary conditions

Mi Jin Lee; Jong Yeoul Park; Sun-Hye Park

doi:10.1002/mma.4326

General decay of solutions of quasilinear wave equation with time-varying delay in the boundary feedback and acoustic boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4326 ◽

2017 ◽

Vol 40 (12) ◽

pp. 4560-4576 ◽

Cited By ~ 1

Author(s):

Mi Jin Lee ◽

Jong Yeoul Park ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

General Decay ◽

Time Varying ◽

Quasilinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Boundary Feedback ◽

Decay Of Solutions ◽

Varying Delay

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Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback

Nonlinear Analysis ◽

10.1016/j.na.2014.08.021 ◽

2015 ◽

Vol 112 ◽

pp. 105-117 ◽

Cited By ~ 17

Author(s):

Jing Li ◽

Shugen Chai

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Coefficients ◽

Time Varying ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Boundary Feedback ◽

Varying Delay

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General decay for a viscoelastic equation of variable coefficients with a time-varying delay in the boundary feedback and acoustic boundary conditions

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30084-x ◽

2017 ◽

Vol 37 (5) ◽

pp. 1453-1471 ◽

Cited By ~ 3

Author(s):

Yamna BOUKHATEM ◽

Benyattou BENABDERRAHMANE

Keyword(s):

Boundary Conditions ◽

Variable Coefficients ◽

General Decay ◽

Time Varying ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Boundary Feedback ◽

Viscoelastic Equation ◽

Varying Delay

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Long time behavior of a wave equation with time-varying delay and acoustic boundary conditions

10.22541/au.160084625.57597786 ◽

2020 ◽

Author(s):

Jong Yeoul Park ◽

Jae Jeong

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Time Behavior ◽

Time Varying ◽

Long Time Behavior ◽

Acoustic Boundary Conditions ◽

Time Varying Delay ◽

Long Time ◽

Varying Delay

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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 ◽

Cited By ~ 13

Author(s):

Wenjun Liu

Keyword(s):

Wave Equation ◽

General Decay ◽

Time Varying ◽

Internal Feedback ◽

Delay Term ◽

Time Varying Delay ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Varying Delay

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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 ◽

Cited By ~ 17

Author(s):

Abbes Benaissa ◽

Abdelkader Benaissa ◽

Salim. A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Time Varying ◽

Weakly Nonlinear ◽

Delay Term ◽

Time Varying Delay ◽

Decay Of Solutions ◽

Varying Delay

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Energy decay of solutions for the wave equation with a time-varying delay term in the weakly nonlinear internal feedbacks

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017024 ◽

2017 ◽

Vol 22 (2) ◽

pp. 491-506

Author(s):

Ferhat Mohamed ◽

◽

Hakem Ali

Keyword(s):

Wave Equation ◽

Energy Decay ◽

Time Varying ◽

Weakly Nonlinear ◽

Delay Term ◽

Time Varying Delay ◽

Decay Of Solutions ◽

Varying Delay

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General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition

Mathematics and Mechanics of Complex Systems ◽

10.2140/memocs.2021.9.127 ◽

2021 ◽

Vol 9 (2) ◽

pp. 127-142

Author(s):

Abita Rahmoune

Keyword(s):

Feedback Condition ◽

General Decay ◽

Time Varying ◽

Time Varying Delay ◽

Boundary Feedback ◽

Viscoelastic Equation ◽

Varying Delay

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General decay rate for weak viscoelastic wave equation with Balakrishnan–Taylor damping and time-varying delay

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.04.010 ◽

2019 ◽

Vol 78 (8) ◽

pp. 2632-2640 ◽

Cited By ~ 2

Author(s):

Jianghao Hao ◽

Fei Wang

Keyword(s):

Wave Equation ◽

Decay Rate ◽

General Decay ◽

Time Varying ◽

General Decay Rate ◽

Time Varying Delay ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave ◽

Varying Delay

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General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term

Evolution Equations and Control Theory ◽

10.3934/eect.2017013 ◽

2017 ◽

Vol 6 (2) ◽

pp. 239-260 ◽

Cited By ~ 11

Author(s):

Wenjun Liu ◽

◽

Biqing Zhu ◽

Gang Li ◽

Danhua Wang

Keyword(s):

Boundary Conditions ◽

General Decay ◽

Kirchhoff Equation ◽

Time Varying ◽

Dynamic Boundary Conditions ◽

Delay Term ◽

Time Varying Delay ◽

Dynamic Boundary ◽

Varying Delay

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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 ◽

Cited By ~ 1

Author(s):

Abbes Benaissa ◽

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Energy Decay ◽

Time Varying ◽

Delay Term ◽

Time Varying Delay ◽

Decay Of Solutions ◽

Varying Delay

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