Descent of Ordinary Differential Equations with Rational General Solutions
文献类型：期刊论文
| 作者 | Feng, Shuang1; Feng, Ruyong |
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2020-09-09 |
| 页码 | 10 |
| 关键词 | Algebraic ordinary differential equation differential descent rational general solution |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-020-9310-x |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000567745200013 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52151]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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