Pseudo-division algorithm for matrix multivariable polynomial and its application

被引：0
|
作者：
Alatancang [2 ]
Zhang, HQ
Zhong, WX
机构：
[1] Dalian Univ Technol, Dalian 116023, Peoples R China
[2] Inner Mongolia Univ, Hohhot 010021, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2000年 / 21卷 / 07期
基金：
中国国家自然科学基金;
关键词：
matrix multivariable polynomial; infinite dimensional Hamiltonianian system; Wu's method; general solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Pseudo-division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equations into infinite dimensional Hamiltonianian system and its concrete form are obtained. Then by combining this method with Wu's method, a new method of constructing general solution of a class of mechanical equations is got, which several examples show very effective.
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页码：733 / 740
页数：8
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