An algorithm for solving partial differential parametric systems

doi:10.1016/S0166-218X(03)00202-6

CSpace

	An algorithm for solving partial differential parametric systems
	Wang, JM ; Gao, XS
	2004-01-30
发表期刊	DISCRETE APPLIED MATHEMATICS
ISSN	0166-218X
卷号	136 期号:1 页码:105-116
摘要	For a partial differential parametric system P-1 = 0,..., P-r = 0, Q(1) not equal 0,..., Q(s) not equal 0, where P-i, Q(j) are differential polynomials in K{u(1),..., u(t), y(1),..., y(n)} and u(k) are parameters, an algorithm to solve the parametric system is presented in this paper. The algorithm finds not just the values of the parameters u(k) such that the system has solutions, but also all solutions of this system. (C) 2003 Elsevier B.V. All rights reserved.
关键词	differential algebra differential parametric system Wu-Ritt method cover
DOI	10.1016/S0166-218X(03)00202-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000187756000010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19580
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, JM
作者单位	1.Lanzhou Univ, Dept Comp Sci, Lanzhou 730000, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, JM,Gao, XS. An algorithm for solving partial differential parametric systems[J]. DISCRETE APPLIED MATHEMATICS,2004,136(1):105-116.
APA	Wang, JM,&Gao, XS.(2004).An algorithm for solving partial differential parametric systems.DISCRETE APPLIED MATHEMATICS,136(1),105-116.
MLA	Wang, JM,et al."An algorithm for solving partial differential parametric systems".DISCRETE APPLIED MATHEMATICS 136.1(2004):105-116.