A Proof of the Jacobian Conjecture on Global Asymptotic Stability

Authors
Chen, Peng Nian He, Jian Xun Qin, Hua Shu
Citation
Chen, Peng Nian et al., A Proof of the Jacobian Conjecture on Global Asymptotic Stability, Acta mathematica Sinica. English series (Print) , 17(1), 2000, pp. 119-132
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
1
Year of publication
2000
Pages
119 - 132
Database
ACNP
SICI code
Abstract
Let C 1 (R 1, R 2), (0) = 0. The Jacobian Conjecture states that if for any xR 2, the eigenvalues of the Jacobian matrix D(x) have negative real parts, then the zero solution of the differential equation x = (x) is globally asymptotically stable. In this paper we prove that the conjecture is true.