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Hysteresis and Semigroups

  • Augusto Visintin
Part of the Applied Mathematical Sciences book series (AMS, volume 111)

Abstract

By means of a suitable representation of the hysteresis relation, several ordinary and partial differential equations containing a possibly discontinuous generalized play operator are transformed into systems of differential inclusions of the form
$$ \left\{ {_{U\left( 0 \right) = {U^0},}^{U + A\left( U \right)}} \right. \mathrel\backepsilon F + G\left( U \right)in]0,T[,$$
(1)
where the operator A is T- and m-accretive with respect to an L 1-type norm.

Keywords

Cauchy Problem Banach Lattice Differential Inclusion Multivalued Function Maximal Monotone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Augusto Visintin
    • 1
  1. 1.Dipartimento di MatematicaUniversitá di TrentoPovo (Trento)Italy

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