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A proof of the Jacobian conjecture on global asymptotic stability. (English) Zbl 1009.34045

The authors give one more proof that the Jacobian conjecture on global asymptotic stability is fulfilled. (For the entire collection: G. Meisters and C. Olech [Analyse mathématique et applications, Contrib. Honneur J.-L. Lions, 373-381 (1988; Zbl 0668.34048)], R. Feßler [Ann. Pol. Math. 62, No. 1, 45-74 (1995; Zbl 0835.34052)] and C. Gutierrez [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 12, No. 6, 627-671 (1995; Zbl 0837.34057)]).

MSC:

34D23 Global stability of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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