On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

Bae JJ.; Park JY.; Jeong JM.

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On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

机译：具有非线性边界阻尼和记忆源项的Kirchhoff型波动方程解的均匀衰减

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In this paper we grove the existence of solution to the mixed problem for wave equation of Kirchhoff type with nonlinear boundary damping and memory term. Moreover we discuss the uniform decay of solution. (C) 2002 Published by Elsevier Science Inc. [References: 20]

机译：本文探讨了具有非线性边界阻尼和记忆项的Kirchhoff型波动方程混合问题解的存在性。此外，我们讨论了溶液的均匀衰减。（C）2002由Elsevier Science Inc.发行。[参考：20]

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《Applied mathematics and computation》 |2003年第3期|共16页
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Bae JJ.; Park JY.; Jeong JM.;
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正文语种 eng
中图分类应用数学;
关键词
Existence of solution; Uniform decay; Wave equation; Boundary value problem; A priori estimates; Hyperbolic-equations; Energy decay; Existence;

机译：解的存在;一致衰减;波动方程;边值问题;先验估计;双曲方程;能量衰减;存在;

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1. On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term [J] . Bae JJ., Park JY., Jeong JM. Applied mathematics and computation . 2003,第2a3期

机译：具有非线性边界阻尼和记忆源项的Kirchhoff型波动方程解的均匀衰减
2. Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term [J] . M. Aassila, M. M. Cavalcanti, V. N. Domingos Cavalcanti Calculus of variations and partial differential equations . 2002,第2期

机译：具有非线性边界阻尼和边界记忆源项的波动方程的存在性和均匀衰减
3. ENERGY DECAY RATES FOR SOLUTIONS OF THE KIRCHHOFF TYPE WAVE EQUATION WITH BOUNDARY DAMPING AND SOURCE TERMS [J] . Ha Tae Gab The Journal of integral equations and applications . 2018,第3期

机译：具有边界阻尼和源术语的Kirchhoff型波方程解的能量衰减率
4. EXISTENCE AND UNIFORM DECAY OF THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND BOUNDARY MEMORY SOURCE TERM [C] . Marcelo Moreira Cavalcanti International ISAAC Congress . 2003

机译：非线性边界阻尼和边界存储源术语波方程的存在与均匀衰减
5. Long-term dynamics of a semilinear wave equation with localized nonlinear dissipation, critical source term, and mixed boundary conditions. [D] . Toundykov, Daniel. 2007

机译：具有局部非线性耗散，临界源项和混合边界条件的半线性波动方程的长期动力学。
6. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation [O] . Daewook Kim, Dojin Kim, Keum-Shik Hong, -1

机译：具有非线性耗散的Kirchhoff型波动方程的整体存在和能量衰减率
7. Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms [O] . Taniguchi Takeshi 2010

机译：具有非线性阻尼和源项的Kirchhoff型弱阻尼波动方程解的存在性与渐近性。

On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

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