EXISTENCE AND UNIFORM DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH STRONG DAMPING AND NONLINEAR BOUNDARY MEMORY DAMPING TERM

JONG YEOUL PARK; JUNG AE KIM

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EXISTENCE AND UNIFORM DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH STRONG DAMPING AND NONLINEAR BOUNDARY MEMORY DAMPING TERM

机译：具有强阻尼和非线性边界记忆阻尼项的非线性粘弹性方程的存在与一致衰减。

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摘要

In this paper, we prove the existence of the solution to the nonlinear viscoelastic equation with strong damping and nonlinear boundary memory damping term. Moreover, we discuss the uniform decay of the solution.

机译：在本文中，我们证明了具有强阻尼和非线性边界记忆阻尼项的非线性粘弹性方程解的存在性。此外，我们讨论了溶液的均匀衰减。

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《Dynamic Systems and Applications》 |2009年第4期|共16页
作者
JONG YEOUL PARK; JUNG AE KIM;
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正文语种 eng
中图分类理论力学（一般力学）;
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1. EXISTENCE AND UNIFORM DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH STRONG DAMPING AND NONLINEAR BOUNDARY MEMORY DAMPING TERM [J] . JONG YEOUL PARK, JUNG AE KIM Dynamic Systems and Applications . 2009,第3a4期

机译：具有强阻尼和非线性边界记忆阻尼项的非线性粘弹性方程的存在与一致衰减。
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. Uniform decay of solutions for viscoelastic problem with nonlinear boundary damping and memory term [J] . Jeong Ja Bae Journal of the Korean Mathematical Society . 2005,第1期

机译：具有非线性边界阻尼和记忆项的粘弹性问题解的均匀衰减
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

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5. Systems of nonlinear wave equations with damping and supercritical sources [D] . Guo, Yanqiu 2012

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6. Dynamics of cochlear nonlinearity: Automatic gain control or instantaneous damping? [O] . Alessandro Altoè, Karolina K. Charaziak, Christopher A. Shera -1

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7. Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms [O] . Liang Guo, Zhaoqin Yuan, Guoguang Lin 2015

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EXISTENCE AND UNIFORM DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH STRONG DAMPING AND NONLINEAR BOUNDARY MEMORY DAMPING TERM

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