On the global asymptotic stability problem and the Jacobian conjecture
Ludwik Drużkowski (2005)
Control and Cybernetics
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Displaying similar documents to “Differential conditions to verify the Jacobian Conjecture”
On the global asymptotic stability problem and the Jacobian conjecture
Global asymptotic stability for plane polynomial flows
Gary H. Meisters, Czesław Olech (1986)
Časopis pro pěstování matematiky
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The Real Jacobian Conjecture for polynomials of degree 3
Janusz Gwoździewicz (2001)
Annales Polonici Mathematici
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We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.
A Note on the Divergence-Free Jacobian Conjecture in ℝ²
M. Sabatini (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give a shorter proof to a recent result by Neuberger [Rocky Mountain J. Math. 36 (2006)], in the real case. Our result is essentially an application of the global asymptotic stability Jacobian Conjecture. We also extend some of the results of Neuberger's paper.
The formal inverse and the Jacobian Conjecture
L. M. Drużkowski, K. Rusek (1985)
Annales Polonici Mathematici
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A counterexample to the strong real Jocobian conjecture.
Sergey Pinchuk (1994)
Mathematische Zeitschrift
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A Basic Fixed Point Theorem
Lech Pasicki (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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The paper contains a fixed point theorem for stable mappings in metric discus spaces (Theorem 10). A consequence is Theorem 11 which is a far-reaching extension of the fundamental result of Browder, Göhde and Kirk for non-expansive mappings.
The structural influence of the forces of the stability of dynamical systems.
Lupu, Mircea, Florea, Olivia, Lupu, Ciprian (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Prolongations and stability in dynamical systems
J. Auslander, P. Seibert (1964)
Annales de l'institut Fourier
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.
Discrete twice optimal control systems
Zdeněk Vostrý (1975)
Kybernetika
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