| 非线性卷积积分微分方程的初值问题 |
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| 引用本文： | 郭艾,鲁进步,叶超.非线性卷积积分微分方程的初值问题[J].兰州理工大学学报,1998(4). |
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| 作者姓名： | 郭艾 鲁进步 叶超 |
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| 作者单位： | 甘肃工业大学基础科学系 |
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| 摘 要： | 讨论一类非线性积分偏微分方程初值问题的整体经典解的存在性，该问题描述无限长均匀粘弹性杆的纵振动．在关于ｐ和ｆ的一些假设下，证明了该问题整体经典解的存在性．
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| 关 键 词： | 初值问题，积分微分方程，经典解，非线性，存在性 |
Initial value problem of nonlinear convolution integro differential equation |
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| Guo Ai,Lu Jinbu,Ye Chao.Initial value problem of nonlinear convolution integro differential equation[J].Journal of Lanzhou University of Technology,1998(4). |
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| Authors: | Guo Ai Lu Jinbu Ye Chao |
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| Abstract: | The global existence of the classical solution of the initial value problem of nonlinear integro differential equation is studied.This problem describes the nonlinear vibrations of infinite rod with nonlinear viscoelastic. Under certain conditions about p and f , the existence of the global classical solution is obtained. |
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| Keywords: | initial value problem integro differential equation classical solution nonlinear existence |
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