A proof of the Jacobian conjecture on global asymptotic stability
文献类型：期刊论文
| 作者 | Chen, PN; He, JX; Qin, HS |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2001 |
| 卷号 | 17期号:1页码:119-132 |
| 关键词 | plane differential equation global stability global injectivity |
| ISSN号 | 1000-9574 |
| 英文摘要 | Let f is an element of C-1 (R-2, R-2), f(0) = 0. The Jacobian Conjecture states that if for any x is an element of R-2, the eigenvalues of the Jacobian matrix Df(x) have negative real parts, then the zero solution of the differential equation x (over dot) = f(x) is globally asymptotically stable. In this paper we prove that the conjecture is true. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000166696200010 |
| 出版者 | SPRINGER-VERLAG SINGAPORE PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16719]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, PN |
| 作者单位 | 1.China Inst Metrol, Div Mat, Hangzhou 310034, Peoples R China 2.Xiamen Univ, Dept Syst Sci, Xiamen 361005, Peoples R China 3.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, PN,He, JX,Qin, HS. A proof of the Jacobian conjecture on global asymptotic stability[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2001,17(1):119-132. |
| APA | Chen, PN,He, JX,&Qin, HS.(2001).A proof of the Jacobian conjecture on global asymptotic stability.ACTA MATHEMATICA SINICA-ENGLISH SERIES,17(1),119-132. |
| MLA | Chen, PN,et al."A proof of the Jacobian conjecture on global asymptotic stability".ACTA MATHEMATICA SINICA-ENGLISH SERIES 17.1(2001):119-132. |
入库方式： OAI收割
来源：数学与系统科学研究院
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