Selfadjoint Means and Operator Monotone Functions.
Frank Hansen (1981)
Mathematische Annalen
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Displaying similar documents to “Group Actions on Strongly Monotone Dynamical Systems.”
Selfadjoint Means and Operator Monotone Functions.
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M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
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