| A SYMBOLIC COMPUTATION METHOD TO DECIDE THE COMPLETENESS OF THE SOLUTIONS TO THE SYSTEM OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS |
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| 引用本文： | 张鸿庆,谢福鼎,陆斌. A SYMBOLIC COMPUTATION METHOD TO DECIDE THE COMPLETENESS OF THE SOLUTIONS TO THE SYSTEM OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS[J]. 应用数学和力学(英文版), 2002, 23(10): 1134-1139. DOI: 10.1007/BF02437661 |
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| 作者姓名： | 张鸿庆 谢福鼎 陆斌 |
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| 作者单位： | ZHANG Hong_qing，XIE Fu_ding，LU Bin (Department of Applied Mathematics，Dalian University of Technology，Dalian 116024，P R China)(Contributed by ZHANG Hong_qing) |
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| 基金项目： | the‘973’ProjectofChina (G19980 3 0 60 0 )，theNationalNaturalScienceFoundationofChina (10 0 72 0 13 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒｔｈｅｓｙｓｔｅｍｏｆｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌａｌｇｅｂｒａｉｃｅｑｕａｔｉｏｎｓ (ＰＤＡＥｓ) :Σ : Ｐｉ(ｙ1,ｙ2 ,… ,ｙｎ) =0 (ｉ =1,2 ,… ,ｒ) ,ｗｈｅｒｅｔｈｅｃｏｅｆｆｉｃｉｅｎｔｓａｒｅｉｎｔｈｅｄｉｆｆｅｒｅｎｔｉａｌｆｉｅｌｄＫｗｉｔｈｃｈａｒａｃｔｅｒｉｓｔｉｃｚｅｒｏ .ＴｈｅｉｍｐｏｒｔａｎｔｑｕｅｓｔｉｏｎｉｓｈｏｗｔｏｓｏｌｖｅｔｈｉｓＰＤＡＥｓｉｎｔｈｅｔｈｅｏｒｙｏｆｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａ…
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| 收稿时间： | 2001-06-16 |
A symbolic computation method to decide the completeness of the solutions to the system of linear partial differential equations |
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| Zhang Hong-qing Professor,Xie Fu-ding,Lu Bin. A symbolic computation method to decide the completeness of the solutions to the system of linear partial differential equations[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(10): 1134-1139. DOI: 10.1007/BF02437661 |
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| Authors: | Zhang Hong-qing Professor Xie Fu-ding Lu Bin |
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| Affiliation: | Department of Applied Mathematics, Dalian University of Technology,Dalian 116024, P R China |
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| Abstract: | A symbolic computation method to decide whether the solutions to the system of linear partial differential equation is complete via using differential algebra and characteristic set is presented.This is a mechanization method,and it can be carried out on the computer in the Maple environment. |
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| Keywords: | differential algebra system of partial differential equation symbolic computation characteristic set |
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