Titlebook: Differential Models of Hysteresis; Augusto Visintin Book 1994 Springer-Verlag Berlin Heidelberg 1994 Hysteresis.Mathematical Modelling.Mem

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Plays, Stops and Prandtl-Ishlinski? ModelsThe concept of hysteresis operator is introduced.

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Discontinuous HysteresisThe ., defined in Sect. IV.l, is here revisited. Its closure in suitable function spaces is introduced, in view of the study of differential equations containing operators of this sort. This leads to an extension which can be expressed in terms of a system of variational inequalities.

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Some ToolsSome mathematical definitions and basic results about function spaces, nonlinear operators in Banach spaces, nonlinear semigroups of contractions, and convex analysis are here recalled.