| 具有非线性边界问题粘弹性方程解的衰减问题 |
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| 引用本文： | 王艳君,郝江浩,王晓红.具有非线性边界问题粘弹性方程解的衰减问题[J].太原师范学院学报(自然科学版),2013(3):11-15. |
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| 作者姓名： | 王艳君 郝江浩 王晓红 |
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| 作者单位： | 山西大学数学科学学院,山西太原030006 |
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| 摘 要： | 文章主要考虑一类具有非线性边界的拟线性粘弹性方程解的衰减性.证明当方程中的非线性函数和初值满足一定的条件时,系统的能量是衰减的,而且给出衰减率的估计.
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| 关 键 词： | 拟线性粘弹性方程 非线性边界 衰减性 |
Uniform Decay of Solution for Viscoelastic Equation with Nonlinear Boundary Condition |
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| Wang Yanjun Hao Jianghao Wang Xiaohong.Uniform Decay of Solution for Viscoelastic Equation with Nonlinear Boundary Condition[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(3):11-15. |
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| Authors: | Wang Yanjun Hao Jianghao Wang Xiaohong |
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| Institution: | Wang Yanjun Hao Jianghao Wang Xiaohong (School of Mathematicl Science,Shanxi University, Taiyuan 030006 ,China) |
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| Abstract: | To consider the solution~s decay of a system of quasilinear viscoelastic equation with nonlinear boundary condition. Under some appropriate assumptions on the nonlinear function and initial value,a general decay and the estimate for the energy of the system has been estab- lished. |
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| Keywords: | quasilinear viscoelastic equation nonlinear boundary decay rate |
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