Generalized solution of a nonlinear wave equation with nonlinear boundary conditions of the first, second, and third kinds

Differential Equations ◽

10.1134/s0012266109030112 ◽

2009 ◽

Vol 45 (3) ◽

pp. 416-428

Author(s):

V. A. Terletskii ◽

E. A. Lutkovskaya

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Generalized Solution

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A nonlinear wave equation associated with nonlinear boundary conditions: Existence and asymptotic expansion of solutions

Nonlinear Analysis ◽

10.1016/j.na.2006.04.013 ◽

2007 ◽

Vol 66 (12) ◽

pp. 2852-2880 ◽

Author(s):

Nguyen Thanh Long ◽

Vo Giang Giai

Keyword(s):

Asymptotic Expansion ◽

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Asymptotic Expansion Of Solutions

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Existence and asymptotic expansion for a nonlinear wave equation associated with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2006.08.024 ◽

2007 ◽

Vol 67 (6) ◽

pp. 1791-1819 ◽

Author(s):

Nguyen Thanh Long ◽

Vo Giang Giai

Keyword(s):

Asymptotic Expansion ◽

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions

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Local absorbing boundary conditions for nonlinear wave equation on unbounded domain

Physical Review E ◽

10.1103/physreve.84.036707 ◽

2011 ◽

Vol 84 (3) ◽

Author(s):

Hongwei Li ◽

Xiaonan Wu ◽

Jiwei Zhang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Unbounded Domain ◽

Nonlinear Wave Equation ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary

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Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions of 2N‐point type

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7313 ◽

2021 ◽

Author(s):

Nguyen Anh Triet ◽

Le Thi Phuong Ngoc ◽

Alain Pham ◽

Nguyen Thanh Long

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Nonlinear Wave Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

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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 ◽

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 ◽

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Corrigendum to “Existence, blow-up and exponential decay estimates for a system of nonlinear wave equations with nonlinear boundary conditions” [Math Meth Appl Sci. 37 (4) (2014) 464-487. https://doi.org/10.1002/mma.2803]

10.22541/au.160068432.24998300 ◽

2020 ◽

Author(s):

Le Thi Phuong Ngoc ◽

Nguyen Thanh Long

Keyword(s):

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Wave Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlinear Wave Equations ◽

Decay Estimates

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GLOBAL ATTRACTOR OF THE WEAKLY DAMPED WAVE EQUATION WITH NONLINEAR BOUNDARY CONDITIONS

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2012.27.1.097 ◽

2012 ◽

Vol 27 (1) ◽

pp. 97-106

Author(s):

Chaosheng Zhu

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Global Attractor ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Damped Wave Equation

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Spatial behavior estimates for the wave equation under nonlinear boundary conditions

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(01)00080-2 ◽

2001 ◽

Vol 34 (5-6) ◽

pp. 527-532 ◽

Author(s):

A.O. Celebi ◽

V.K. Kalantarov

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Spatial Behavior

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Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions

Russian Mathematics ◽

10.3103/s1066369x07020065 ◽

2007 ◽

Vol 51 (2) ◽

pp. 44-52 ◽

Author(s):

I. A. Rudakov

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Periodic Solutions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.05.006 ◽

2018 ◽

Vol 76 (3) ◽

pp. 661-671

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

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