On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

Park JY.; Bae JJ.

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On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

机译：具有非线性边界阻尼和记忆项的Kirchhoff型耦合波方程。

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In this paper we prove the existence of the solution to the mixed problem for coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term. Moreover, we discuss the uniform decay of the solution. (C) 2002 Published by Elsevier Science Inc. [References: 22]

机译：本文证明了具有非线性边界阻尼和记忆项的Kirchhoff型耦合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.出版[参考文献：22]

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《Applied mathematics and computation》 |2002年第1期|共19页
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Park JY.; Bae JJ.;
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1. On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term [J] . Park JY., Bae JJ. Applied mathematics and computation . 2002,第1期

机译：具有非线性边界阻尼和记忆项的Kirchhoff型耦合波方程。
2. 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
3. On uniform decay of the solution for a damped nonlinear coupled system of wave equations with nonlinear boundary damping and memory term [J] . Bae JJ. Applied mathematics and computation . 2004,第1期

机译：具有非线性边界阻尼和记忆项的非线性波动方程组的解的一致衰减。
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 coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

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