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

Entropy Filtration Compressibility 

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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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