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| 关于偏微分方程解的规模,恰当解,形式幂级数解和序的优化 | |
| 引用本文： | 夏铁成,曹丽娜,张鸿庆. 关于偏微分方程解的规模,恰当解,形式幂级数解和序的优化[J]. 系统科学与数学, 2005, 25(6): 752-760 |
| 作者姓名： | 夏铁成 曹丽娜 张鸿庆 |
| 作者单位： | 1. 上海大学数学系,上海,200444 2. 中央民族学院数学系,北京,100080 3. 大连理工大学应用数学系,大连,116024 |
| 基金项目： | 国家”973”项目(1998030600)上海大学科学发展基金，辽宁省教育厅项目(2004C057)资助课题． |
| 摘 要： | 基于Reid标准型,楔子(盒子)理论,吴方法解决了一些偏微分方程组的维数问题 -即解的规模,并给出了形式幂级数解并编制了算法．最重要的是给出了验证恰当解的优序-即Ⅱ-型序。 |
| 关 键 词： | 解的规模 恰当解 标准型 楔子 吴方法 序的优化 可积条件 |
| 修稿时间： | 2003-03-26 |
ON THE SIZE OF SOLUTION, PROPER SOLUTION, FORMAL TAYLOR SERIES SOLUTIONS AND THE OPTIMIZATION OF ORDERINGS FOR SOME PDES |
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| Xia Tiecheng,Cao Lina,Zhang Hongqing. ON THE SIZE OF SOLUTION, PROPER SOLUTION, FORMAL TAYLOR SERIES SOLUTIONS AND THE OPTIMIZATION OF ORDERINGS FOR SOME PDES[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(6): 752-760 | |
| Authors: | Xia Tiecheng Cao Lina Zhang Hongqing |
| Affiliation: | (1)Department of Mathematics, Shanghai University, Shanghai 200444;(2) Department of Mathematics, Central University For Nationalities, Beijing 100081;(3) Department of Applied Mathematics, Dalian University of Technology, Dalian 116024 |
| Abstract: | The paper deal with dimensions of the solution spaces for some PDEs-i.e., the size of solution, and gives Taylor series formal solution for some PDEs based on the Reid's standard form, wedges concept and Wu method. Finally, some algorithms and examples are given. We obtain optimization orderings of proper solutions. |
| Keywords: | The size of solution proper solution standard form wedges Wu method optimization of orderings integrability conditions. |
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