Displaying similar documents to “A semilinear perturbation of the identity in Hilbert spaces.”

On strongly monotone flows

Wolfgang Walter (1997)

Annales Polonici Mathematici

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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.

A-monotone nonlinear relaxed cocoercive variational inclusions

Ram Verma (2007)

Open Mathematics

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Based on the notion of A - monotonicity, a new class of nonlinear variational inclusion problems is presented. Since A - monotonicity generalizes H - monotonicity (and in turn, generalizes maximal monotonicity), results thus obtained, are general in nature.