| 线性齐次偏微分方程组吴特征列和 Janet 基的等价性 |
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| 引用本文： | 张善卿,李志斌,潘素起.线性齐次偏微分方程组吴特征列和 Janet 基的等价性[J].系统科学与数学,2005,25(4):429-438. |
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| 作者姓名： | 张善卿 李志斌 潘素起 |
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| 作者单位： | 1. 杭州电子科技大学计算机学院,杭州,310018
2. 华东师范大学计算机科学技术系,上海,200062 |
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| 基金项目： | 杭州电子科技大学科研启动基金(KYS071505001) |
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| 摘 要： | 本文简单介绍了吴微分特征列和Janet基,利用线性齐次微分方程组既约化基的概念,证明了线性齐次偏微分方程组的正规化的吴微分特征列和正规化的、自约化的Janet基均是既约化基,从而由既约化基的唯一性,得到了它们的等价性定理。
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| 关 键 词： | 线性齐次微分方程组 吴微分特征列 Janet基 既约化基 |
| 修稿时间： | 2003年3月17日 |
EQUALITY BETWEEN WU-CHARACTERISTIC SETS AND JANET BASES FOR LINEAR HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS |
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| Zhang Shanqing,Li Zhibin,Pan Suqi.EQUALITY BETWEEN WU-CHARACTERISTIC SETS AND JANET BASES FOR LINEAR HOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,2005,25(4):429-438. |
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| Authors: | Zhang Shanqing Li Zhibin Pan Suqi |
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| Affiliation: | (1)School of Computer, Hangzhou Dianzi University, Hangzhou 310018;(2) Department of Computer Science, East China Normal University, Shanghai 200062 |
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| Abstract: | First, Wu-characteristic sets and Janet bases for linear homogeneous partial differential equations(LHPDES) are introduced, and then using the concept of reduced bases for LHPDES, we draw a conclusion that both canonical Wu-characteristic set and canonicalautoreduced Janet bases for LHPDES are the reduced bases, and equality between them is obtained according to the uniqueness of the reduced bases. |
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| Keywords: | Linear homogeneous partial differential equations Wu-characteristic set Janet bases reduced bases |
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