Descent of Ordinary Differential Equations with Rational General Solutions

doi:10.1007/s11424-020-9310-x

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	Descent of Ordinary Differential Equations with Rational General Solutions
	Feng, Shuang 1; Feng, Ruyong
	2020-09-09
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
页码	10
摘要	LetFbe an irreducible differential polynomial overk(t) withkbeing an algebraically closed field of characteristic zero. The authors prove thatF= 0 has rational general solutions if and only if the differential algebraic function field overk(t) associated toFis generated overk(t) by constants, i.e., the variety defined byFdescends to a variety overk. As a consequence, the authors prove that ifFis of first order and has movable singularities thenFhas only finitely many rational solutions.
关键词	Algebraic ordinary differential equation differential descent rational general solution
DOI	10.1007/s11424-020-9310-x
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11771433] ; National Natural Science Foundation of China[11688101] ; Beijing Natural Science Foundation[Z190004]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000567745200013
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52152
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, Shuang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Univ Chinese Acad Sci, Sch Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Feng, Shuang,Feng, Ruyong. Descent of Ordinary Differential Equations with Rational General Solutions[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2020:10.
APA	Feng, Shuang,&Feng, Ruyong.(2020).Descent of Ordinary Differential Equations with Rational General Solutions.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,10.
MLA	Feng, Shuang,et al."Descent of Ordinary Differential Equations with Rational General Solutions".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2020):10.