Polynomial general solutions for first order autonomous ODEs

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	Polynomial general solutions for first order autonomous ODEs
	Feng, RY; Gao, XS
	2005
发表期刊	COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS
ISSN	0302-9743
卷号	3519 页码:5-17
摘要	For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that this algorithm is quite effective in solving ODEs with high degrees and a large number of terms.
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000230362900002
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1806
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, RY
作者单位	Acad Sinica, Inst Syst Sci, AMSS, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Feng, RY,Gao, XS. Polynomial general solutions for first order autonomous ODEs[J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,2005,3519:5-17.
APA	Feng, RY,&Gao, XS.(2005).Polynomial general solutions for first order autonomous ODEs.COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,3519,5-17.
MLA	Feng, RY,et al."Polynomial general solutions for first order autonomous ODEs".COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS 3519(2005):5-17.