| 具有边界记忆项波动方程的初边值问题 |
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| 引用本文： | 张小中,邓利华. 具有边界记忆项波动方程的初边值问题[J]. 信阳师范学院学报(自然科学版), 2011, 0(4): 430-435 |
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| 作者姓名： | 张小中 邓利华 |
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| 作者单位： | 河南理工大学数学与信息科学学院; |
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| 基金项目： | 河南理工大学青年基金项目(Q2008-57); 河南省教育厅项目(2009B110009) |
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| 摘 要： | 研究一类具有边界记忆项的非线性波动方程的初边值问题,利用Galerkin方法、紧性原理得到了整体解的存在性,利用补偿能量法得到了解的渐近性.
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| 关 键 词： | 整体解 渐近性 边界记忆项 |
Initial and Boundary Problem of Wave Equation with Memory Term |
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| ZHANG Xiao-zhong,DENG Li-hua. Initial and Boundary Problem of Wave Equation with Memory Term[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2011, 0(4): 430-435 |
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| Authors: | ZHANG Xiao-zhong DENG Li-hua |
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| Affiliation: | ZHANG Xiao-zhong*,DENG Li-hua(College of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China) |
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| Abstract: | The existence of global solutions for a class of nonlinear wave equation with the memory term was studied by Galerkin method and compact prinple.The asymptotic behavior of the global solution was obtained by use of energy method. |
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| Keywords: | global solution asymptotic behavior boundary memory term |
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