On the Markus-Yamabe Conjecture

Robert Feßler ()
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Robert Feßler: Universität Basel, Mathematisches Institut

A chapter in Automorphisms of Affine Spaces, 1995, pp 127-135 from Springer

Abstract: Abstract The so called Global Asymptotic Stability Jacobian Conjecture or Markus — Yamabe Conjecture (MYC(n)) is as follows: If f ∈ C 1(ℝ n , ℝ n ) satisfies the so called Markus — Yamabe Condition, i.e. for all x ∈ ℝ n all eigenvalues of D f (x) have a negative real part and if f(0) = 0, then 0 is a global attractor of the ODE 1 $$\dot{x} = f\left( x \right).$$

Date: 1995
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DOI: 10.1007/978-94-015-8555-2_7

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