Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary

Nonlinear Analysis ◽

10.1016/s0362-546x(03)00121-4 ◽

2003 ◽

Vol 54 (5) ◽

pp. 959-976 ◽

Author(s):

M.L. Santos ◽

J. Ferreira ◽

D.C. Pereira ◽

C.A. Raposo

Keyword(s):

Wave Equation ◽

Global Existence ◽

Memory Condition ◽

Kirchhoff Type ◽

Existence And Stability ◽

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GLOBAL EXISTENCE AND STABILITY FOR EULER-BERNOULLI BEAM EQUATION WITH MEMORY CONDITION AT THE BOUNDARY

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2005.42.6.1137 ◽

2005 ◽

Vol 42 (6) ◽

pp. 1137-1152 ◽

Author(s):

Jong-Yeoul PARK ◽

Joung-Ae KIM

Keyword(s):

Global Existence ◽

Beam Equation ◽

Bernoulli Beam ◽

Memory Condition ◽

Existence And Stability ◽

Euler Bernoulli Beam ◽

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Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities

Applicable Analysis ◽

10.1080/00036811.2018.1530760 ◽

2018 ◽

Vol 99 (8) ◽

pp. 1333-1343

Author(s):

Samah Ghegal ◽

Ilhem Hamchi ◽

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Variable Exponent ◽

Existence And Stability

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Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.498301 ◽

2010 ◽

Vol 31 (8) ◽

pp. 921-935 ◽

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Existence Of Solutions ◽

Memory Term ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

Type Wave ◽

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General Energy Decay Rates for a Nonlinear Wave Equation of Kirchhoff Type with Memory and Acoustic Boundary Conditions

Funkcialaj Ekvacioj ◽

10.1619/fesi.63.1 ◽

2020 ◽

Vol 63 (1) ◽

pp. 1-18

Author(s):

Tae Gab Ha ◽

Jong Yeoul Park

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Decay Rates ◽

Acoustic Boundary Conditions ◽

Kirchhoff Type ◽

General Energy ◽

Energy Decay Rates ◽

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Global existence and stability for a von Karman equations with memory in noncylindrical domains

Journal of Mathematical Physics ◽

10.1063/1.3253977 ◽

2009 ◽

Vol 50 (11) ◽

pp. 112701 ◽

Author(s):

Jong Yeoul Park ◽

Jum Ran Kang

Keyword(s):

Global Existence ◽

Von Kármán Equations ◽

Existence And Stability ◽

Von Kármán ◽

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Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents

10.21136/mb.2021.0122-20 ◽

2021 ◽

pp. 1-14

Author(s):

Aya Khaldi ◽

Amar Ouaoua ◽

Messaoud Maouni

Keyword(s):

Global Existence ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Variable Exponents ◽

Type Reaction ◽

Kirchhoff Type ◽

Stability Of Solution ◽

Existence And Stability

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On global existence and nonexistence of solutions to a quasi-linear wave equation with memory, nonlinear damping and source terms

Scientific African ◽

10.1016/j.sciaf.2021.e00974 ◽

2021 ◽

pp. e00974

Author(s):

Paul A. Ogbiyele

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Damping ◽

Linear Wave ◽

Source Terms ◽

Linear Wave Equation ◽

Existence And Nonexistence ◽

Nonexistence Of Solutions ◽

Damping And Source Terms ◽

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On uniform decay of coupled wave equation of Kirchhoff type subject to memory condition on the boundary

Nonlinear Analysis ◽

10.1016/j.na.2004.11.014 ◽

2005 ◽

Vol 61 (3) ◽

pp. 351-372 ◽

Author(s):

Jeong Ja Bae

Keyword(s):

Wave Equation ◽

Memory Condition ◽

Uniform Decay ◽

Kirchhoff Type ◽

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Global existence and blow-up of solutions for a nonlinear wave equation with memory

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-33 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Fei Liang ◽

Hongjun Gao

Keyword(s):

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Blow Up ◽

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Global Existence and Exponential Stability for a Quasilinear Wave Equation with Memory Damping at the Boundary

Journal of Optimization Theory and Applications ◽

10.1007/s10957-008-9399-x ◽

2008 ◽

Vol 139 (3) ◽

pp. 617-634 ◽

Author(s):

Q. Zhang

Keyword(s):

Wave Equation ◽

Global Existence ◽

Exponential Stability ◽

Quasilinear Wave Equation ◽

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