| 卷积型积分偏微分方程的初边值问题 |
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| 引用本文： | 任永华,张建文. 卷积型积分偏微分方程的初边值问题[J]. 太原师范学院学报(自然科学版), 2007, 6(1): 24-26 |
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| 作者姓名： | 任永华 张建文 |
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| 作者单位： | 太原理工大学,数学系,山西,太原,030024 |
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| 摘 要： | 考虑带有记忆项的一类积分偏微分方程的初边值问题，采用积分方程理论及Faedo-Galerkin方法，通过积分估计证明了此类方程的初边值问题正则解的存在性．
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| 关 键 词： | 积分偏微分方程 记忆项 Faedo-Galerkin方法 |
| 文章编号： | 1672-2027（2007）01-0024-03 |
| 收稿时间： | 2007-01-11 |
| 修稿时间： | 2007-01-11 |
Initial-Boundary Value Problems for a Class of Nonlinear Integro-Differential Equations |
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| Ren Yonghua,Zhang Jianwen. Initial-Boundary Value Problems for a Class of Nonlinear Integro-Differential Equations[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2007, 6(1): 24-26 |
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| Authors: | Ren Yonghua Zhang Jianwen |
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| Abstract: | Memory term and initial boundary value problem in a category of integro-partial differential equations is researched. By using Volterra integral equation theory and FaedoGalerkin method,and,by integral estimate,the existence of solution for this class of integro-partial differential equations with initial-boundary value condition is proved. |
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| Keywords: | integro-partial differential equation memory term Faedo-Galerkin method |
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