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

Wenjun Liu;  ; Biqing Zhu; Gang Li; Danhua Wang

doi:10.3934/eect.2017013

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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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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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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GENERAL DECAY RATE ESTIMATE FOR THE ENERGY OF A WEAK VISCOELASTIC EQUATION WITH AN INTERNAL TIME-VARYING DELAY TERM

Taiwanese Journal of Mathematics ◽

10.11650/tjm.17.2013.2968 ◽

2013 ◽

Vol 17 (6) ◽

pp. 2101-2115 ◽

Cited By ~ 16

Author(s):

Wenjun Liu

Keyword(s):

Decay Rate ◽

General Decay ◽

Time Varying ◽

Rate Estimate ◽

General Decay Rate ◽

Internal Time ◽

Delay Term ◽

Time Varying Delay ◽

Viscoelastic Equation ◽

Varying Delay

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Asymptotic behavior for a weak viscoelastic wave equations with a dynamic boundary and time varying delay term

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-015-0917-3 ◽

2015 ◽

Vol 51 (1-2) ◽

pp. 509-526 ◽

Cited By ~ 6

Author(s):

Mohamed Ferhat ◽

Ali Hakem

Keyword(s):

Asymptotic Behavior ◽

Wave Equations ◽

Time Varying ◽

Delay Term ◽

Time Varying Delay ◽

Dynamic Boundary ◽

Viscoelastic Wave ◽

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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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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A general decay estimate for the nonlinear transmission problem of weak viscoelastic equations with time-varying delay

Journal of Mathematical Physics ◽

10.1063/1.5103177 ◽

2019 ◽

Vol 60 (10) ◽

pp. 101507 ◽

Cited By ~ 1

Author(s):

Zhiqing Liu ◽

Cunchen Gao ◽

Zhong Bo Fang

Keyword(s):

Decay Estimate ◽

General Decay ◽

Transmission Problem ◽

Time Varying ◽

Nonlinear Transmission ◽

Time Varying Delay ◽

Viscoelastic Equations ◽

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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Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term

Journal of Partial Differential Equations ◽

10.4208/jpde.v32.n2.1 ◽

2019 ◽

Vol 32 (2) ◽

pp. 93-111

Author(s):

Fatima. Z. Mahdi and Ali Hakem sci

Keyword(s):

Asymptotic Stability ◽

Global Existence ◽

Boundary Value Problem ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Time Varying ◽

Delay Term ◽

Time Varying Delay ◽

Initial Boundary Value ◽

Varying Delay

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