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- Title
A Proof of the Jacobian Conjecture on Global Asymptotic Stability.
- Authors
Chen, Peng Nian; He, Jian Xun; Qin, Hua Shu
- Abstract
Abstract Let Integral of is an element of C[sup 1] (R[sup 2], R[sup 2]), Integral of(0) 0. The Jacobian Conjecture states that if for any x is an element of R[sup 2], the eigenvalues of the Jacobian matrix Df(x) have negative real parts, then the zero solution of the differential equation x = Integral of(x) is globally asymptotically stable. In this paper we prove that the conjecture is true.
- Subjects
JACOBIAN matrices; DIFFERENTIAL equations; ASYMPTOTIC symmetry (Physics)
- Publication
Acta Mathematica Sinica, 2001, Vol 17, Issue 1
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s101140000098