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一类具有边界记忆项波动方程解的爆破
引用本文:张小中,张通.一类具有边界记忆项波动方程解的爆破[J].河南师范大学学报(自然科学版),2013,41(2):10-12.
作者姓名:张小中  张通
作者单位:河南理工大学数学与信息科学学院,河南焦作,454000
基金项目:国家自然科学基金青年基金,国家天元基金,河南省科技厅基础与前沿研究项目
摘    要:介绍了一类具有结构阻尼项,并且在边界有记忆项的非线性波动方程的模型,主要通过构造能量函数,以及利用凸性方法得到解爆破的充分条件.

关 键 词:结构阻尼项  边界记忆项  解爆破

The Blowup of Solution for Wave Equation with Memory Term at the Boundary
ZHANG Xiaozhong , ZHANG Tong.The Blowup of Solution for Wave Equation with Memory Term at the Boundary[J].Journal of Henan Normal University(Natural Science),2013,41(2):10-12.
Authors:ZHANG Xiaozhong  ZHANG Tong
Institution:(College of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China)
Abstract:In this paper,a class of nonlinear wave equation with the memory term at the boundary and with structure damping term is introduced,and sufficient condition for the blow-up of solution is studied by constructing energy function and using of convex method.
Keywords:structure damping term  memory term at the boundary  blow-up of solution
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