Abstract
Let ƒ∈C 1 (R 1, R 2), ƒ(0) = 0. The Jacobian Conjecture states that if for any x∈R 2, the eigenvalues of the Jacobian matrix Dƒ(x) have negative real parts, then the zero solution of the differential equation x = ƒ(x) is globally asymptotically stable. In this paper we prove that the conjecture is true.
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This work is supported by the National Natural Science Foundation of China
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Chen, P.N., He, J.X. & Qin, H.S. A Proof of the Jacobian Conjecture on Global Asymptotic Stability. Acta Math Sinica 17, 119–132 (2001). https://doi.org/10.1007/s101140000098
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DOI: https://doi.org/10.1007/s101140000098