一类具记忆项的非线性强阻尼双曲方程解的爆破性 |
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引用本文: | 代辉亚,张宏伟.一类具记忆项的非线性强阻尼双曲方程解的爆破性[J].数学的实践与认识,2014(18). |
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作者姓名: | 代辉亚 张宏伟 |
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作者单位: | 河南工业大学数学系; |
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基金项目: | 国家自然科学基金(11171311) |
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摘 要: | 利用一个特殊不等式得到一类具记忆项的非线性阻尼双曲方程解的爆破条件.方程描述了具记忆时滞的粘弹性梁问题.
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关 键 词: | 初边值问题 爆破 强阻尼 |
The Blow-up of Solution of a Class of Nonlinear Damped Hyperbolic Equation with Memory |
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Abstract: | In this paper,the blow-up property of a class of nonUnear damped hyperbolic equation with memory is proved.The equation describes the transmission problem for beam. |
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Keywords: | initial boundary problem blow-up strongly damped |
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